\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  -3.0 & -8.00 x_{1} & +  6.00 x_{2} & +  1.00 x_{3} & +  8.00 x_{4} & + 10.00 x_{5} & +  7.00 x_{6} & +  5.00 x_{7} & -9.00 x_{8} & +  5.00 x_{9} & -7.00 x_{10} & -6.00 x_{11} & +  9.00 x_{12} &   & -4.00 x_{14} & +  1.00 x_{15} & +  4.00 x_{16} & +  9.00 x_{17} & -5.00 x_{18} & +  9.00 x_{19}\\
 x_{21}   &  -2.0 & +  8.00 x_{1} & -5.00 x_{2} & +  9.00 x_{3} & +  8.00 x_{4} & -5.00 x_{5} &   & +  9.00 x_{7} & +  8.00 x_{8} & -9.00 x_{9} & +  5.00 x_{10} & + 10.00 x_{11} & +  1.00 x_{12} & -9.00 x_{13} & -1.00 x_{14} & -8.00 x_{15} & -3.00 x_{16} & +  5.00 x_{17} & -3.00 x_{18} & -1.00 x_{19}\\
 x_{22}   &  -2.0 & +  1.00 x_{1} & -3.00 x_{2} & -3.00 x_{3} &   & -6.00 x_{5} &   & -6.00 x_{7} &   & -7.00 x_{9} & -1.00 x_{10} & -4.00 x_{11} & +  2.00 x_{12} &   & -10.00 x_{14} & +  8.00 x_{15} & +  2.00 x_{16} & -7.00 x_{17} & -10.00 x_{18} & -10.00 x_{19}\\
 x_{23}   &  3.0  &   & +  9.00 x_{2} & -3.00 x_{3} & -5.00 x_{4} & -5.00 x_{5} & +  6.00 x_{6} & +  4.00 x_{7} & +  5.00 x_{8} & -10.00 x_{9} & +  6.00 x_{10} & +  5.00 x_{11} & +  6.00 x_{12} & -9.00 x_{13} & -3.00 x_{14} & -1.00 x_{15} & -7.00 x_{16} & +  1.00 x_{17} &   & -7.00 x_{19}\\
 x_{24}   &  1.0 & -8.00 x_{1} & -6.00 x_{2} & -7.00 x_{3} & -3.00 x_{4} & +  8.00 x_{5} & +  6.00 x_{6} & +  1.00 x_{7} & -3.00 x_{8} & -8.00 x_{9} & +  8.00 x_{10} & +  7.00 x_{11} & +  8.00 x_{12} & +  3.00 x_{13} & +  2.00 x_{14} & -4.00 x_{15} & +  7.00 x_{16} & + 10.00 x_{17} & +  6.00 x_{18} & -4.00 x_{19}\\
 x_{25}   &  2.0 & + 10.00 x_{1} & -9.00 x_{2} & +  7.00 x_{3} & + 10.00 x_{4} & +  1.00 x_{5} & -1.00 x_{6} &   & -7.00 x_{8} & +  8.00 x_{9} &   & -4.00 x_{11} & -5.00 x_{12} & + 10.00 x_{13} &   & +  5.00 x_{15} & -2.00 x_{16} &   & +  1.00 x_{18} & -8.00 x_{19}\\
 x_{26}   &  0.0 & -6.00 x_{1} & +  1.00 x_{2} & +  9.00 x_{3} & +  6.00 x_{4} & -5.00 x_{5} &   & -7.00 x_{7} & +  2.00 x_{8} & -2.00 x_{9} & -7.00 x_{10} & -7.00 x_{11} & +  4.00 x_{12} & -8.00 x_{13} & +  1.00 x_{14} & -9.00 x_{15} & +  5.00 x_{16} & +  1.00 x_{17} & -2.00 x_{18} &   \\
 x_{27}   &  -1.0 & + 10.00 x_{1} & -2.00 x_{2} & -7.00 x_{3} & -6.00 x_{4} & +  1.00 x_{5} & -2.00 x_{6} & +  9.00 x_{7} & +  6.00 x_{8} & +  6.00 x_{9} & +  7.00 x_{10} & +  6.00 x_{11} & +  6.00 x_{12} & -1.00 x_{13} & -6.00 x_{14} & -1.00 x_{15} & -1.00 x_{16} & -1.00 x_{17} & + 10.00 x_{18} & +  8.00 x_{19}\\
 x_{28}   &  -2.0 & -7.00 x_{1} & -7.00 x_{2} & -7.00 x_{3} & +  3.00 x_{4} & -7.00 x_{5} & +  3.00 x_{6} & -9.00 x_{7} & +  9.00 x_{8} & -5.00 x_{9} & -10.00 x_{10} & +  4.00 x_{11} & -2.00 x_{12} &   & +  9.00 x_{14} &   & -10.00 x_{16} & +  7.00 x_{17} & -8.00 x_{18} & -1.00 x_{19}\\
 x_{29}   &  -1.0 & -3.00 x_{1} & -3.00 x_{2} & -10.00 x_{3} & + 10.00 x_{4} & +  7.00 x_{5} & +  5.00 x_{6} & +  6.00 x_{7} & -3.00 x_{8} & +  9.00 x_{9} &   & +  7.00 x_{11} & -3.00 x_{12} & -1.00 x_{13} & +  3.00 x_{14} & +  8.00 x_{15} & +  9.00 x_{16} & -8.00 x_{17} & -7.00 x_{18} & +  1.00 x_{19}\\
 x_{30}   &  2.0 & +  5.00 x_{1} & + 10.00 x_{2} & +  7.00 x_{3} &   & + 10.00 x_{5} & +  5.00 x_{6} & -4.00 x_{7} & +  3.00 x_{8} & -10.00 x_{9} & -8.00 x_{10} & +  6.00 x_{11} & -9.00 x_{12} & +  7.00 x_{13} & +  6.00 x_{14} & -1.00 x_{15} & +  1.00 x_{16} & -10.00 x_{17} & -5.00 x_{18} & -3.00 x_{19}\\
 x_{31}   &  3.0 & +  4.00 x_{1} & -3.00 x_{2} & -10.00 x_{3} & +  8.00 x_{4} & +  8.00 x_{5} & -8.00 x_{6} & +  2.00 x_{7} &   & +  1.00 x_{9} & -4.00 x_{10} & -7.00 x_{11} & +  3.00 x_{12} & +  5.00 x_{13} & +  7.00 x_{14} &   & -7.00 x_{16} & -3.00 x_{17} & -8.00 x_{18} & -8.00 x_{19}\\
 x_{32}   &  1.0 & +  7.00 x_{1} & -5.00 x_{2} & +  1.00 x_{3} & + 10.00 x_{4} & +  8.00 x_{5} & -1.00 x_{6} & +  4.00 x_{7} & -5.00 x_{8} &   & +  2.00 x_{10} & +  7.00 x_{11} & -7.00 x_{12} & +  8.00 x_{13} & +  6.00 x_{14} & -6.00 x_{15} & -7.00 x_{16} & +  7.00 x_{17} & +  6.00 x_{18} & -1.00 x_{19}\\
 x_{33}   &  0.0 & -9.00 x_{1} & +  7.00 x_{2} & -10.00 x_{3} & +  1.00 x_{4} & + 10.00 x_{5} & -2.00 x_{6} & -7.00 x_{7} & -3.00 x_{8} & + 10.00 x_{9} & +  1.00 x_{10} & +  1.00 x_{11} & -1.00 x_{12} & -4.00 x_{13} & +  9.00 x_{14} & -7.00 x_{15} & -3.00 x_{16} & +  8.00 x_{17} & -2.00 x_{18} & + 10.00 x_{19}\\
 x_{34}   &  -2.0 & +  9.00 x_{1} & +  6.00 x_{2} & -3.00 x_{3} &   & +  7.00 x_{5} & -3.00 x_{6} & +  1.00 x_{7} & -5.00 x_{8} & -5.00 x_{9} & +  9.00 x_{10} & +  3.00 x_{11} & +  7.00 x_{12} & + 10.00 x_{13} & -5.00 x_{14} & +  3.00 x_{15} & +  5.00 x_{16} & -5.00 x_{17} & -9.00 x_{18} & +  4.00 x_{19}\\
 x_{35}   &  0.0 & +  7.00 x_{1} & +  2.00 x_{2} & +  9.00 x_{3} & -8.00 x_{4} & -6.00 x_{5} & +  2.00 x_{6} & -1.00 x_{7} & -2.00 x_{8} & +  3.00 x_{9} &   & -9.00 x_{11} & +  1.00 x_{12} & -8.00 x_{13} & -2.00 x_{14} & +  9.00 x_{15} & +  8.00 x_{16} & -1.00 x_{17} & -2.00 x_{18} & -3.00 x_{19}\\
\hline
z    &  0.0 & -3.00 x_{1} & +  1.00 x_{2} & -2.00 x_{3} & -1.00 x_{4} & -4.00 x_{5} & +  3.00 x_{6} & +  1.00 x_{7} & -4.00 x_{8} & -5.00 x_{9} & +  4.00 x_{10} & -2.00 x_{11} & -1.00 x_{12} & -3.00 x_{13} & +  5.00 x_{14} & -3.00 x_{15} & -4.00 x_{16} & -3.00 x_{17} &    &   \\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{19}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,35$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  8.00 y_{20} & -8.00 y_{21} & -1.00 y_{22} &   & +  8.00 y_{24} & -10.00 y_{25} & +  6.00 y_{26} & -10.00 y_{27} & +  7.00 y_{28} & +  3.00 y_{29} & -5.00 y_{30} & -4.00 y_{31} & -7.00 y_{32} & +  9.00 y_{33} & -9.00 y_{34} & -7.00 y_{35}\\
 y_{2}   &  1.0 & -6.00 y_{20} & +  5.00 y_{21} & +  3.00 y_{22} & -9.00 y_{23} & +  6.00 y_{24} & +  9.00 y_{25} & -1.00 y_{26} & +  2.00 y_{27} & +  7.00 y_{28} & +  3.00 y_{29} & -10.00 y_{30} & +  3.00 y_{31} & +  5.00 y_{32} & -7.00 y_{33} & -6.00 y_{34} & -2.00 y_{35}\\
 y_{3}   &  1.0 & -1.00 y_{20} & -9.00 y_{21} & +  3.00 y_{22} & +  3.00 y_{23} & +  7.00 y_{24} & -7.00 y_{25} & -9.00 y_{26} & +  7.00 y_{27} & +  7.00 y_{28} & + 10.00 y_{29} & -7.00 y_{30} & + 10.00 y_{31} & -1.00 y_{32} & + 10.00 y_{33} & +  3.00 y_{34} & -9.00 y_{35}\\
 y_{4}   &  1.0 & -8.00 y_{20} & -8.00 y_{21} &   & +  5.00 y_{23} & +  3.00 y_{24} & -10.00 y_{25} & -6.00 y_{26} & +  6.00 y_{27} & -3.00 y_{28} & -10.00 y_{29} &   & -8.00 y_{31} & -10.00 y_{32} & -1.00 y_{33} &   & +  8.00 y_{35}\\
 y_{5}   &  1.0 & -10.00 y_{20} & +  5.00 y_{21} & +  6.00 y_{22} & +  5.00 y_{23} & -8.00 y_{24} & -1.00 y_{25} & +  5.00 y_{26} & -1.00 y_{27} & +  7.00 y_{28} & -7.00 y_{29} & -10.00 y_{30} & -8.00 y_{31} & -8.00 y_{32} & -10.00 y_{33} & -7.00 y_{34} & +  6.00 y_{35}\\
 y_{6}   &  1.0 & -7.00 y_{20} &    &   & -6.00 y_{23} & -6.00 y_{24} & +  1.00 y_{25} &   & +  2.00 y_{27} & -3.00 y_{28} & -5.00 y_{29} & -5.00 y_{30} & +  8.00 y_{31} & +  1.00 y_{32} & +  2.00 y_{33} & +  3.00 y_{34} & -2.00 y_{35}\\
 y_{7}   &  1.0 & -5.00 y_{20} & -9.00 y_{21} & +  6.00 y_{22} & -4.00 y_{23} & -1.00 y_{24} &   & +  7.00 y_{26} & -9.00 y_{27} & +  9.00 y_{28} & -6.00 y_{29} & +  4.00 y_{30} & -2.00 y_{31} & -4.00 y_{32} & +  7.00 y_{33} & -1.00 y_{34} & +  1.00 y_{35}\\
 y_{8}   &  1.0 & +  9.00 y_{20} & -8.00 y_{21} &   & -5.00 y_{23} & +  3.00 y_{24} & +  7.00 y_{25} & -2.00 y_{26} & -6.00 y_{27} & -9.00 y_{28} & +  3.00 y_{29} & -3.00 y_{30} &   & +  5.00 y_{32} & +  3.00 y_{33} & +  5.00 y_{34} & +  2.00 y_{35}\\
 y_{9}   &  1.0 & -5.00 y_{20} & +  9.00 y_{21} & +  7.00 y_{22} & + 10.00 y_{23} & +  8.00 y_{24} & -8.00 y_{25} & +  2.00 y_{26} & -6.00 y_{27} & +  5.00 y_{28} & -9.00 y_{29} & + 10.00 y_{30} & -1.00 y_{31} &   & -10.00 y_{33} & +  5.00 y_{34} & -3.00 y_{35}\\
 y_{10}   &  1.0 & +  7.00 y_{20} & -5.00 y_{21} & +  1.00 y_{22} & -6.00 y_{23} & -8.00 y_{24} &   & +  7.00 y_{26} & -7.00 y_{27} & + 10.00 y_{28} &   & +  8.00 y_{30} & +  4.00 y_{31} & -2.00 y_{32} & -1.00 y_{33} & -9.00 y_{34} &   \\
 y_{11}   &  1.0 & +  6.00 y_{20} & -10.00 y_{21} & +  4.00 y_{22} & -5.00 y_{23} & -7.00 y_{24} & +  4.00 y_{25} & +  7.00 y_{26} & -6.00 y_{27} & -4.00 y_{28} & -7.00 y_{29} & -6.00 y_{30} & +  7.00 y_{31} & -7.00 y_{32} & -1.00 y_{33} & -3.00 y_{34} & +  9.00 y_{35}\\
 y_{12}   &  1.0 & -9.00 y_{20} & -1.00 y_{21} & -2.00 y_{22} & -6.00 y_{23} & -8.00 y_{24} & +  5.00 y_{25} & -4.00 y_{26} & -6.00 y_{27} & +  2.00 y_{28} & +  3.00 y_{29} & +  9.00 y_{30} & -3.00 y_{31} & +  7.00 y_{32} & +  1.00 y_{33} & -7.00 y_{34} & -1.00 y_{35}\\
 y_{13}   &  1.0  &   & +  9.00 y_{21} &   & +  9.00 y_{23} & -3.00 y_{24} & -10.00 y_{25} & +  8.00 y_{26} & +  1.00 y_{27} &   & +  1.00 y_{29} & -7.00 y_{30} & -5.00 y_{31} & -8.00 y_{32} & +  4.00 y_{33} & -10.00 y_{34} & +  8.00 y_{35}\\
 y_{14}   &  1.0 & +  4.00 y_{20} & +  1.00 y_{21} & + 10.00 y_{22} & +  3.00 y_{23} & -2.00 y_{24} &   & -1.00 y_{26} & +  6.00 y_{27} & -9.00 y_{28} & -3.00 y_{29} & -6.00 y_{30} & -7.00 y_{31} & -6.00 y_{32} & -9.00 y_{33} & +  5.00 y_{34} & +  2.00 y_{35}\\
 y_{15}   &  1.0 & -1.00 y_{20} & +  8.00 y_{21} & -8.00 y_{22} & +  1.00 y_{23} & +  4.00 y_{24} & -5.00 y_{25} & +  9.00 y_{26} & +  1.00 y_{27} &   & -8.00 y_{29} & +  1.00 y_{30} &   & +  6.00 y_{32} & +  7.00 y_{33} & -3.00 y_{34} & -9.00 y_{35}\\
 y_{16}   &  1.0 & -4.00 y_{20} & +  3.00 y_{21} & -2.00 y_{22} & +  7.00 y_{23} & -7.00 y_{24} & +  2.00 y_{25} & -5.00 y_{26} & +  1.00 y_{27} & + 10.00 y_{28} & -9.00 y_{29} & -1.00 y_{30} & +  7.00 y_{31} & +  7.00 y_{32} & +  3.00 y_{33} & -5.00 y_{34} & -8.00 y_{35}\\
 y_{17}   &  1.0 & -9.00 y_{20} & -5.00 y_{21} & +  7.00 y_{22} & -1.00 y_{23} & -10.00 y_{24} &   & -1.00 y_{26} & +  1.00 y_{27} & -7.00 y_{28} & +  8.00 y_{29} & + 10.00 y_{30} & +  3.00 y_{31} & -7.00 y_{32} & -8.00 y_{33} & +  5.00 y_{34} & +  1.00 y_{35}\\
 y_{18}   &  1.0 & +  5.00 y_{20} & +  3.00 y_{21} & + 10.00 y_{22} &   & -6.00 y_{24} & -1.00 y_{25} & +  2.00 y_{26} & -10.00 y_{27} & +  8.00 y_{28} & +  7.00 y_{29} & +  5.00 y_{30} & +  8.00 y_{31} & -6.00 y_{32} & +  2.00 y_{33} & +  9.00 y_{34} & +  2.00 y_{35}\\
 y_{19}   &  1.0 & -9.00 y_{20} & +  1.00 y_{21} & + 10.00 y_{22} & +  7.00 y_{23} & +  4.00 y_{24} & +  8.00 y_{25} &   & -8.00 y_{27} & +  1.00 y_{28} & -1.00 y_{29} & +  3.00 y_{30} & +  8.00 y_{31} & +  1.00 y_{32} & -10.00 y_{33} & -4.00 y_{34} & +  3.00 y_{35}\\
\hline
z    &  -0 & +  3.00 y_{20} & +  2.00 y_{21} & +  2.00 y_{22} & -3.00 y_{23} & -1.00 y_{24} & -2.00 y_{25} &   & +  1.00 y_{27} & +  2.00 y_{28} & +  1.00 y_{29} & -2.00 y_{30} & -3.00 y_{31} & -1.00 y_{32} &   & +  2.00 y_{34} &   \\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 28 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{35}   &  0.25887708394 & -1.61 y_{20} & -0.06 y_{15} & +  0.02 y_{8} & -0.59 y_{23} & -0.05 y_{12} & -0.31 y_{25} & +  0.61 y_{24} & -0.02 y_{4} & -0.08 y_{2} & +  0.53 y_{29} & +  0.05 y_{10} & -0.16 y_{31} & -0.08 y_{17} & +  0.02 y_{5} & -0.65 y_{34} & -0.06 y_{1}\\
 y_{21}   &  0.223380635215 & +  0.51 y_{20} & -0.02 y_{15} & -0.05 y_{8} & -1.01 y_{23} & +  0.03 y_{12} & +  0.11 y_{25} & +  0.81 y_{24} & -0.06 y_{4} & -0.07 y_{2} & -0.07 y_{29} & -0.06 y_{10} & +  0.44 y_{31} & -0.02 y_{17} & +  0.04 y_{5} & -0.24 y_{34} & -0.00 y_{1}\\
 y_{3}   &  8.10636900462 & -46.98 y_{20} & -1.90 y_{15} & -1.06 y_{8} & +  9.96 y_{23} & -1.92 y_{12} & -10.04 y_{25} & -25.91 y_{24} & -0.81 y_{4} & +  0.66 y_{2} & -19.18 y_{29} & +  0.20 y_{10} & -19.05 y_{31} & -0.58 y_{17} & -2.26 y_{5} & -12.85 y_{34} & +  0.57 y_{1}\\
 y_{11}   &  0.641364086834 & -14.64 y_{20} & -0.15 y_{15} & +  1.03 y_{8} & -7.44 y_{23} & -0.87 y_{12} & +  3.46 y_{25} & -4.47 y_{24} & -0.00 y_{4} & -0.48 y_{2} & -2.22 y_{29} & +  0.71 y_{10} & +  6.47 y_{31} & -0.17 y_{17} & +  0.46 y_{5} & -8.61 y_{34} & -0.17 y_{1}\\
 y_{28}   &  0.0966653198954 & -0.61 y_{20} & -0.04 y_{15} & -0.04 y_{8} & +  0.31 y_{23} & -0.01 y_{12} & -0.07 y_{25} & -0.21 y_{24} & -0.00 y_{4} & +  0.02 y_{2} & -0.11 y_{29} & +  0.04 y_{10} & -0.40 y_{31} & -0.04 y_{17} & -0.03 y_{5} & +  0.51 y_{34} & +  0.00 y_{1}\\
 y_{26}   &  0.0338186315826 & -1.78 y_{20} & +  0.02 y_{15} & +  0.04 y_{8} & +  0.08 y_{23} & -0.09 y_{12} & -0.13 y_{25} & +  0.01 y_{24} & -0.02 y_{4} & -0.01 y_{2} & +  0.29 y_{29} & +  0.08 y_{10} & -0.90 y_{31} & -0.01 y_{17} & -0.00 y_{5} & -0.46 y_{34} & -0.04 y_{1}\\
 y_{7}   &  8.56546870998 & -66.75 y_{20} & -1.95 y_{15} & -0.37 y_{8} & -4.80 y_{23} & -1.93 y_{12} & -6.49 y_{25} & -1.41 y_{24} & -1.71 y_{4} & -1.06 y_{2} & -28.37 y_{29} & +  1.29 y_{10} & -28.66 y_{31} & -0.85 y_{17} & -0.95 y_{5} & -16.09 y_{34} & -0.05 y_{1}\\
 y_{27}   &  0.250096036751 & -1.84 y_{20} & -0.03 y_{15} & -0.03 y_{8} & +  0.15 y_{23} & -0.12 y_{12} & -0.11 y_{25} & -1.04 y_{24} & -0.00 y_{4} & +  0.03 y_{2} & -0.22 y_{29} & +  0.05 y_{10} & -1.49 y_{31} & -0.02 y_{17} & -0.09 y_{5} & -1.03 y_{34} & -0.04 y_{1}\\
 y_{9}   &  1.19146646835 & + 12.82 y_{20} & -0.23 y_{15} & -0.63 y_{8} & +  9.96 y_{23} & +  0.86 y_{12} & -14.28 y_{25} & + 30.40 y_{24} & -0.91 y_{4} & -0.29 y_{2} & -20.97 y_{29} & -0.32 y_{10} & -0.46 y_{31} & +  0.65 y_{17} & +  0.60 y_{5} & + 10.43 y_{34} & +  0.07 y_{1}\\
 y_{32}   &  0.154524391004 & -1.92 y_{20} & -0.03 y_{15} & +  0.03 y_{8} & +  0.87 y_{23} & -0.06 y_{12} & -1.29 y_{25} & -0.37 y_{24} & -0.04 y_{4} & +  0.02 y_{2} & -0.65 y_{29} & +  0.06 y_{10} & -1.35 y_{31} & -0.03 y_{17} & -0.05 y_{5} & -0.64 y_{34} & -0.05 y_{1}\\
 y_{33}   &  0.746396151084 & -4.24 y_{20} & -0.14 y_{15} & -0.06 y_{8} & -0.88 y_{23} & -0.14 y_{12} & -0.17 y_{25} & -0.61 y_{24} & -0.13 y_{4} & -0.11 y_{2} & -1.36 y_{29} & +  0.02 y_{10} & -1.63 y_{31} & -0.09 y_{17} & -0.08 y_{5} & -1.85 y_{34} & -0.01 y_{1}\\
 y_{22}   &  0.908121728513 & -5.21 y_{20} & -0.21 y_{15} & -0.06 y_{8} & -0.23 y_{23} & -0.20 y_{12} & -1.44 y_{25} & -0.22 y_{24} & -0.21 y_{4} & -0.08 y_{2} & -3.09 y_{29} & +  0.04 y_{10} & -3.06 y_{31} & -0.05 y_{17} & -0.11 y_{5} & -2.65 y_{34} & -0.03 y_{1}\\
 y_{13}   &  6.64140131353 & -24.58 y_{20} & -0.71 y_{15} & -0.35 y_{8} & -13.95 y_{23} & -1.09 y_{12} & -3.06 y_{25} & +  3.73 y_{24} & -0.99 y_{4} & -1.75 y_{2} & +  8.64 y_{29} & -0.06 y_{10} & -4.00 y_{31} & -0.99 y_{17} & +  0.66 y_{5} & -22.85 y_{34} & -0.38 y_{1}\\
 y_{14}   &  3.16577382889 & -3.69 y_{20} & -0.56 y_{15} & +  0.03 y_{8} & -0.32 y_{23} & -1.06 y_{12} & -5.61 y_{25} & -3.06 y_{24} & -0.64 y_{4} & +  0.02 y_{2} & -15.53 y_{29} & -0.33 y_{10} & -16.83 y_{31} & +  0.57 y_{17} & -0.07 y_{5} & -11.58 y_{34} & -0.12 y_{1}\\
 y_{30}   &  0.101439377235 & -0.19 y_{20} & -0.02 y_{15} & -0.03 y_{8} & -0.07 y_{23} & +  0.00 y_{12} & +  0.01 y_{25} & +  0.71 y_{24} & -0.02 y_{4} & -0.03 y_{2} & -0.30 y_{29} & +  0.02 y_{10} & -0.39 y_{31} & +  0.01 y_{17} & -0.02 y_{5} & -0.21 y_{34} & -0.02 y_{1}\\
 y_{16}   &  2.04995766794 & -4.17 y_{20} & -0.37 y_{15} & -0.70 y_{8} & + 15.46 y_{23} & +  0.24 y_{12} & -1.94 y_{25} & -17.26 y_{24} & -0.16 y_{4} & +  0.73 y_{2} & -18.49 y_{29} & -0.12 y_{10} & +  0.81 y_{31} & -0.25 y_{17} & -0.74 y_{5} & +  1.35 y_{34} & +  0.31 y_{1}\\
 y_{6}   &  1.83256175293 & -15.05 y_{20} & -0.08 y_{15} & +  0.10 y_{8} & -5.97 y_{23} & -0.47 y_{12} & -0.07 y_{25} & -13.81 y_{24} & -0.15 y_{4} & +  0.12 y_{2} & -8.03 y_{29} & -0.13 y_{10} & +  3.89 y_{31} & -0.03 y_{17} & -0.25 y_{5} & -2.56 y_{34} & +  0.06 y_{1}\\
 y_{18}   &  10.6819556558 & -36.83 y_{20} & -2.45 y_{15} & -1.15 y_{8} & -12.71 y_{23} & -1.02 y_{12} & -7.94 y_{25} & +  8.80 y_{24} & -2.50 y_{4} & -1.83 y_{2} & -21.41 y_{29} & +  0.08 y_{10} & -8.88 y_{31} & -0.71 y_{17} & -0.19 y_{5} & -7.04 y_{34} & +  0.09 y_{1}\\
 y_{19}   &  2.17200720992 & -11.47 y_{20} & -0.78 y_{15} & +  0.09 y_{8} & + 10.47 y_{23} & +  0.14 y_{12} & -5.96 y_{25} & + 20.46 y_{24} & -1.02 y_{4} & -0.26 y_{2} & -16.67 y_{29} & +  0.05 y_{10} & +  2.59 y_{31} & +  0.32 y_{17} & +  0.41 y_{5} & -6.74 y_{34} & -0.13 y_{1}\\
\hline
z    &  2.34902825852 & -7.15 y_{20} & -0.52 y_{15} & -0.31 y_{8} & -5.45 y_{23} & -0.45 y_{12} & -3.62 y_{25} & -2.31 y_{24} & -0.48 y_{4} & -0.19 y_{2} & -4.51 y_{29} & -0.00 y_{10} & -8.40 y_{31} & -0.21 y_{17} & -0.17 y_{5} & -2.72 y_{34} & -0.02 y_{1}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  7.14592754736 & +  1.61 x_{35} & -0.51 x_{21} & + 46.98 x_{3} & + 14.64 x_{11} & +  0.61 x_{28} & +  1.78 x_{26} & + 66.75 x_{7} & +  1.84 x_{27} & -12.82 x_{9} & +  1.92 x_{32} & +  4.24 x_{33} & +  5.21 x_{22} & + 24.58 x_{13} & +  3.69 x_{14} & +  0.19 x_{30} & +  4.17 x_{16} & + 15.05 x_{6} & + 36.83 x_{18} & + 11.47 x_{19}\\
 x_{15}   &  0.517319131982 & +  0.06 x_{35} & +  0.02 x_{21} & +  1.90 x_{3} & +  0.15 x_{11} & +  0.04 x_{28} & -0.02 x_{26} & +  1.95 x_{7} & +  0.03 x_{27} & +  0.23 x_{9} & +  0.03 x_{32} & +  0.14 x_{33} & +  0.21 x_{22} & +  0.71 x_{13} & +  0.56 x_{14} & +  0.02 x_{30} & +  0.37 x_{16} & +  0.08 x_{6} & +  2.45 x_{18} & +  0.78 x_{19}\\
 x_{8}   &  0.306689676242 & -0.02 x_{35} & +  0.05 x_{21} & +  1.06 x_{3} & -1.03 x_{11} & +  0.04 x_{28} & -0.04 x_{26} & +  0.37 x_{7} & +  0.03 x_{27} & +  0.63 x_{9} & -0.03 x_{32} & +  0.06 x_{33} & +  0.06 x_{22} & +  0.35 x_{13} & -0.03 x_{14} & +  0.03 x_{30} & +  0.70 x_{16} & -0.10 x_{6} & +  1.15 x_{18} & -0.09 x_{19}\\
 x_{23}   &  5.4486992337 & +  0.59 x_{35} & +  1.01 x_{21} & -9.96 x_{3} & +  7.44 x_{11} & -0.31 x_{28} & -0.08 x_{26} & +  4.80 x_{7} & -0.15 x_{27} & -9.96 x_{9} & -0.87 x_{32} & +  0.88 x_{33} & +  0.23 x_{22} & + 13.95 x_{13} & +  0.32 x_{14} & +  0.07 x_{30} & -15.46 x_{16} & +  5.97 x_{6} & + 12.71 x_{18} & -10.47 x_{19}\\
 x_{12}   &  0.450207316587 & +  0.05 x_{35} & -0.03 x_{21} & +  1.92 x_{3} & +  0.87 x_{11} & +  0.01 x_{28} & +  0.09 x_{26} & +  1.93 x_{7} & +  0.12 x_{27} & -0.86 x_{9} & +  0.06 x_{32} & +  0.14 x_{33} & +  0.20 x_{22} & +  1.09 x_{13} & +  1.06 x_{14} & -0.00 x_{30} & -0.24 x_{16} & +  0.47 x_{6} & +  1.02 x_{18} & -0.14 x_{19}\\
 x_{25}   &  3.61813244387 & +  0.31 x_{35} & -0.11 x_{21} & + 10.04 x_{3} & -3.46 x_{11} & +  0.07 x_{28} & +  0.13 x_{26} & +  6.49 x_{7} & +  0.11 x_{27} & + 14.28 x_{9} & +  1.29 x_{32} & +  0.17 x_{33} & +  1.44 x_{22} & +  3.06 x_{13} & +  5.61 x_{14} & -0.01 x_{30} & +  1.94 x_{16} & +  0.07 x_{6} & +  7.94 x_{18} & +  5.96 x_{19}\\
 x_{24}   &  2.30912929101 & -0.61 x_{35} & -0.81 x_{21} & + 25.91 x_{3} & +  4.47 x_{11} & +  0.21 x_{28} & -0.01 x_{26} & +  1.41 x_{7} & +  1.04 x_{27} & -30.40 x_{9} & +  0.37 x_{32} & +  0.61 x_{33} & +  0.22 x_{22} & -3.73 x_{13} & +  3.06 x_{14} & -0.71 x_{30} & + 17.26 x_{16} & + 13.81 x_{6} & -8.80 x_{18} & -20.46 x_{19}\\
 x_{4}   &  0.476319207075 & +  0.02 x_{35} & +  0.06 x_{21} & +  0.81 x_{3} & +  0.00 x_{11} & +  0.00 x_{28} & +  0.02 x_{26} & +  1.71 x_{7} & +  0.00 x_{27} & +  0.91 x_{9} & +  0.04 x_{32} & +  0.13 x_{33} & +  0.21 x_{22} & +  0.99 x_{13} & +  0.64 x_{14} & +  0.02 x_{30} & +  0.16 x_{16} & +  0.15 x_{6} & +  2.50 x_{18} & +  1.02 x_{19}\\
 x_{2}   &  0.193139867672 & +  0.08 x_{35} & +  0.07 x_{21} & -0.66 x_{3} & +  0.48 x_{11} & -0.02 x_{28} & +  0.01 x_{26} & +  1.06 x_{7} & -0.03 x_{27} & +  0.29 x_{9} & -0.02 x_{32} & +  0.11 x_{33} & +  0.08 x_{22} & +  1.75 x_{13} & -0.02 x_{14} & +  0.03 x_{30} & -0.73 x_{16} & -0.12 x_{6} & +  1.83 x_{18} & +  0.26 x_{19}\\
 x_{29}   &  4.51303111012 & -0.53 x_{35} & +  0.07 x_{21} & + 19.18 x_{3} & +  2.22 x_{11} & +  0.11 x_{28} & -0.29 x_{26} & + 28.37 x_{7} & +  0.22 x_{27} & + 20.97 x_{9} & +  0.65 x_{32} & +  1.36 x_{33} & +  3.09 x_{22} & -8.64 x_{13} & + 15.53 x_{14} & +  0.30 x_{30} & + 18.49 x_{16} & +  8.03 x_{6} & + 21.41 x_{18} & + 16.67 x_{19}\\
 x_{10}   &  0.00336842954932 & -0.05 x_{35} & +  0.06 x_{21} & -0.20 x_{3} & -0.71 x_{11} & -0.04 x_{28} & -0.08 x_{26} & -1.29 x_{7} & -0.05 x_{27} & +  0.32 x_{9} & -0.06 x_{32} & -0.02 x_{33} & -0.04 x_{22} & +  0.06 x_{13} & +  0.33 x_{14} & -0.02 x_{30} & +  0.12 x_{16} & +  0.13 x_{6} & -0.08 x_{18} & -0.05 x_{19}\\
 x_{31}   &  8.40358751952 & +  0.16 x_{35} & -0.44 x_{21} & + 19.05 x_{3} & -6.47 x_{11} & +  0.40 x_{28} & +  0.90 x_{26} & + 28.66 x_{7} & +  1.49 x_{27} & +  0.46 x_{9} & +  1.35 x_{32} & +  1.63 x_{33} & +  3.06 x_{22} & +  4.00 x_{13} & + 16.83 x_{14} & +  0.39 x_{30} & -0.81 x_{16} & -3.89 x_{6} & +  8.88 x_{18} & -2.59 x_{19}\\
 x_{17}   &  0.207914692921 & +  0.08 x_{35} & +  0.02 x_{21} & +  0.58 x_{3} & +  0.17 x_{11} & +  0.04 x_{28} & +  0.01 x_{26} & +  0.85 x_{7} & +  0.02 x_{27} & -0.65 x_{9} & +  0.03 x_{32} & +  0.09 x_{33} & +  0.05 x_{22} & +  0.99 x_{13} & -0.57 x_{14} & -0.01 x_{30} & +  0.25 x_{16} & +  0.03 x_{6} & +  0.71 x_{18} & -0.32 x_{19}\\
 x_{5}   &  0.170692391787 & -0.02 x_{35} & -0.04 x_{21} & +  2.26 x_{3} & -0.46 x_{11} & +  0.03 x_{28} & +  0.00 x_{26} & +  0.95 x_{7} & +  0.09 x_{27} & -0.60 x_{9} & +  0.05 x_{32} & +  0.08 x_{33} & +  0.11 x_{22} & -0.66 x_{13} & +  0.07 x_{14} & +  0.02 x_{30} & +  0.74 x_{16} & +  0.25 x_{6} & +  0.19 x_{18} & -0.41 x_{19}\\
 x_{34}   &  2.72478648311 & +  0.65 x_{35} & +  0.24 x_{21} & + 12.85 x_{3} & +  8.61 x_{11} & -0.51 x_{28} & +  0.46 x_{26} & + 16.09 x_{7} & +  1.03 x_{27} & -10.43 x_{9} & +  0.64 x_{32} & +  1.85 x_{33} & +  2.65 x_{22} & + 22.85 x_{13} & + 11.58 x_{14} & +  0.21 x_{30} & -1.35 x_{16} & +  2.56 x_{6} & +  7.04 x_{18} & +  6.74 x_{19}\\
 x_{1}   &  0.0233775447095 & +  0.06 x_{35} & +  0.00 x_{21} & -0.57 x_{3} & +  0.17 x_{11} & -0.00 x_{28} & +  0.04 x_{26} & +  0.05 x_{7} & +  0.04 x_{27} & -0.07 x_{9} & +  0.05 x_{32} & +  0.01 x_{33} & +  0.03 x_{22} & +  0.38 x_{13} & +  0.12 x_{14} & +  0.02 x_{30} & -0.31 x_{16} & -0.06 x_{6} & -0.09 x_{18} & +  0.13 x_{19}\\
\hline
z    &  -2.34902825852 & -0.26 x_{35} & -0.22 x_{21} & -8.11 x_{3} & -0.64 x_{11} & -0.10 x_{28} & -0.03 x_{26} & -8.57 x_{7} & -0.25 x_{27} & -1.19 x_{9} & -0.15 x_{32} & -0.75 x_{33} & -0.91 x_{22} & -6.64 x_{13} & -3.17 x_{14} & -0.10 x_{30} & -2.05 x_{16} & -1.83 x_{6} & -10.68 x_{18} & -2.17 x_{19}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  7.14592754736 & +  1.61 x_{35} & -0.51 x_{21} & + 46.98 x_{3} & + 14.64 x_{11} & +  0.61 x_{28} & +  1.78 x_{26} & + 66.75 x_{7} & +  1.84 x_{27} & -12.82 x_{9} & +  1.92 x_{32} & +  4.24 x_{33} & +  5.21 x_{22} & + 24.58 x_{13} & +  3.69 x_{14} & +  0.19 x_{30} & +  4.17 x_{16} & + 15.05 x_{6} & + 36.83 x_{18} & + 11.47 x_{19}\\
 x_{15}   &  0.517319131982 & +  0.06 x_{35} & +  0.02 x_{21} & +  1.90 x_{3} & +  0.15 x_{11} & +  0.04 x_{28} & -0.02 x_{26} & +  1.95 x_{7} & +  0.03 x_{27} & +  0.23 x_{9} & +  0.03 x_{32} & +  0.14 x_{33} & +  0.21 x_{22} & +  0.71 x_{13} & +  0.56 x_{14} & +  0.02 x_{30} & +  0.37 x_{16} & +  0.08 x_{6} & +  2.45 x_{18} & +  0.78 x_{19}\\
 x_{8}   &  0.306689676242 & -0.02 x_{35} & +  0.05 x_{21} & +  1.06 x_{3} & -1.03 x_{11} & +  0.04 x_{28} & -0.04 x_{26} & +  0.37 x_{7} & +  0.03 x_{27} & +  0.63 x_{9} & -0.03 x_{32} & +  0.06 x_{33} & +  0.06 x_{22} & +  0.35 x_{13} & -0.03 x_{14} & +  0.03 x_{30} & +  0.70 x_{16} & -0.10 x_{6} & +  1.15 x_{18} & -0.09 x_{19}\\
 x_{23}   &  5.4486992337 & +  0.59 x_{35} & +  1.01 x_{21} & -9.96 x_{3} & +  7.44 x_{11} & -0.31 x_{28} & -0.08 x_{26} & +  4.80 x_{7} & -0.15 x_{27} & -9.96 x_{9} & -0.87 x_{32} & +  0.88 x_{33} & +  0.23 x_{22} & + 13.95 x_{13} & +  0.32 x_{14} & +  0.07 x_{30} & -15.46 x_{16} & +  5.97 x_{6} & + 12.71 x_{18} & -10.47 x_{19}\\
 x_{12}   &  0.450207316587 & +  0.05 x_{35} & -0.03 x_{21} & +  1.92 x_{3} & +  0.87 x_{11} & +  0.01 x_{28} & +  0.09 x_{26} & +  1.93 x_{7} & +  0.12 x_{27} & -0.86 x_{9} & +  0.06 x_{32} & +  0.14 x_{33} & +  0.20 x_{22} & +  1.09 x_{13} & +  1.06 x_{14} & -0.00 x_{30} & -0.24 x_{16} & +  0.47 x_{6} & +  1.02 x_{18} & -0.14 x_{19}\\
 x_{25}   &  3.61813244387 & +  0.31 x_{35} & -0.11 x_{21} & + 10.04 x_{3} & -3.46 x_{11} & +  0.07 x_{28} & +  0.13 x_{26} & +  6.49 x_{7} & +  0.11 x_{27} & + 14.28 x_{9} & +  1.29 x_{32} & +  0.17 x_{33} & +  1.44 x_{22} & +  3.06 x_{13} & +  5.61 x_{14} & -0.01 x_{30} & +  1.94 x_{16} & +  0.07 x_{6} & +  7.94 x_{18} & +  5.96 x_{19}\\
 x_{24}   &  2.30912929101 & -0.61 x_{35} & -0.81 x_{21} & + 25.91 x_{3} & +  4.47 x_{11} & +  0.21 x_{28} & -0.01 x_{26} & +  1.41 x_{7} & +  1.04 x_{27} & -30.40 x_{9} & +  0.37 x_{32} & +  0.61 x_{33} & +  0.22 x_{22} & -3.73 x_{13} & +  3.06 x_{14} & -0.71 x_{30} & + 17.26 x_{16} & + 13.81 x_{6} & -8.80 x_{18} & -20.46 x_{19}\\
 x_{4}   &  0.476319207075 & +  0.02 x_{35} & +  0.06 x_{21} & +  0.81 x_{3} & +  0.00 x_{11} & +  0.00 x_{28} & +  0.02 x_{26} & +  1.71 x_{7} & +  0.00 x_{27} & +  0.91 x_{9} & +  0.04 x_{32} & +  0.13 x_{33} & +  0.21 x_{22} & +  0.99 x_{13} & +  0.64 x_{14} & +  0.02 x_{30} & +  0.16 x_{16} & +  0.15 x_{6} & +  2.50 x_{18} & +  1.02 x_{19}\\
 x_{2}   &  0.193139867672 & +  0.08 x_{35} & +  0.07 x_{21} & -0.66 x_{3} & +  0.48 x_{11} & -0.02 x_{28} & +  0.01 x_{26} & +  1.06 x_{7} & -0.03 x_{27} & +  0.29 x_{9} & -0.02 x_{32} & +  0.11 x_{33} & +  0.08 x_{22} & +  1.75 x_{13} & -0.02 x_{14} & +  0.03 x_{30} & -0.73 x_{16} & -0.12 x_{6} & +  1.83 x_{18} & +  0.26 x_{19}\\
 x_{29}   &  4.51303111012 & -0.53 x_{35} & +  0.07 x_{21} & + 19.18 x_{3} & +  2.22 x_{11} & +  0.11 x_{28} & -0.29 x_{26} & + 28.37 x_{7} & +  0.22 x_{27} & + 20.97 x_{9} & +  0.65 x_{32} & +  1.36 x_{33} & +  3.09 x_{22} & -8.64 x_{13} & + 15.53 x_{14} & +  0.30 x_{30} & + 18.49 x_{16} & +  8.03 x_{6} & + 21.41 x_{18} & + 16.67 x_{19}\\
 x_{10}   &  0.00336842954932 & -0.05 x_{35} & +  0.06 x_{21} & -0.20 x_{3} & -0.71 x_{11} & -0.04 x_{28} & -0.08 x_{26} & -1.29 x_{7} & -0.05 x_{27} & +  0.32 x_{9} & -0.06 x_{32} & -0.02 x_{33} & -0.04 x_{22} & +  0.06 x_{13} & +  0.33 x_{14} & -0.02 x_{30} & +  0.12 x_{16} & +  0.13 x_{6} & -0.08 x_{18} & -0.05 x_{19}\\
 x_{31}   &  8.40358751952 & +  0.16 x_{35} & -0.44 x_{21} & + 19.05 x_{3} & -6.47 x_{11} & +  0.40 x_{28} & +  0.90 x_{26} & + 28.66 x_{7} & +  1.49 x_{27} & +  0.46 x_{9} & +  1.35 x_{32} & +  1.63 x_{33} & +  3.06 x_{22} & +  4.00 x_{13} & + 16.83 x_{14} & +  0.39 x_{30} & -0.81 x_{16} & -3.89 x_{6} & +  8.88 x_{18} & -2.59 x_{19}\\
 x_{17}   &  0.207914692921 & +  0.08 x_{35} & +  0.02 x_{21} & +  0.58 x_{3} & +  0.17 x_{11} & +  0.04 x_{28} & +  0.01 x_{26} & +  0.85 x_{7} & +  0.02 x_{27} & -0.65 x_{9} & +  0.03 x_{32} & +  0.09 x_{33} & +  0.05 x_{22} & +  0.99 x_{13} & -0.57 x_{14} & -0.01 x_{30} & +  0.25 x_{16} & +  0.03 x_{6} & +  0.71 x_{18} & -0.32 x_{19}\\
 x_{5}   &  0.170692391787 & -0.02 x_{35} & -0.04 x_{21} & +  2.26 x_{3} & -0.46 x_{11} & +  0.03 x_{28} & +  0.00 x_{26} & +  0.95 x_{7} & +  0.09 x_{27} & -0.60 x_{9} & +  0.05 x_{32} & +  0.08 x_{33} & +  0.11 x_{22} & -0.66 x_{13} & +  0.07 x_{14} & +  0.02 x_{30} & +  0.74 x_{16} & +  0.25 x_{6} & +  0.19 x_{18} & -0.41 x_{19}\\
 x_{34}   &  2.72478648311 & +  0.65 x_{35} & +  0.24 x_{21} & + 12.85 x_{3} & +  8.61 x_{11} & -0.51 x_{28} & +  0.46 x_{26} & + 16.09 x_{7} & +  1.03 x_{27} & -10.43 x_{9} & +  0.64 x_{32} & +  1.85 x_{33} & +  2.65 x_{22} & + 22.85 x_{13} & + 11.58 x_{14} & +  0.21 x_{30} & -1.35 x_{16} & +  2.56 x_{6} & +  7.04 x_{18} & +  6.74 x_{19}\\
 x_{1}   &  0.0233775447095 & +  0.06 x_{35} & +  0.00 x_{21} & -0.57 x_{3} & +  0.17 x_{11} & -0.00 x_{28} & +  0.04 x_{26} & +  0.05 x_{7} & +  0.04 x_{27} & -0.07 x_{9} & +  0.05 x_{32} & +  0.01 x_{33} & +  0.03 x_{22} & +  0.38 x_{13} & +  0.12 x_{14} & +  0.02 x_{30} & -0.31 x_{16} & -0.06 x_{6} & -0.09 x_{18} & +  0.13 x_{19}\\
\hline
z    &  -4.87527531874 & -0.62 x_{35} & +  0.12 x_{21} & -25.22 x_{3} & -0.75 x_{11} & -0.71 x_{28} & -0.33 x_{26} & -20.54 x_{7} & -1.10 x_{27} & -2.14 x_{9} & -0.79 x_{32} & -1.52 x_{33} & -2.03 x_{22} & -8.07 x_{13} & +  4.10 x_{14} & -0.34 x_{30} & -10.85 x_{16} & +  2.05 x_{6} & -16.56 x_{18} & -0.61 x_{19}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  7.14592754736 & +  1.61 x_{35} & -0.51 x_{21} & + 46.98 x_{3} & + 14.64 x_{11} & +  0.61 x_{28} & +  1.78 x_{26} & + 66.75 x_{7} & +  1.84 x_{27} & -12.82 x_{9} & +  1.92 x_{32} & +  4.24 x_{33} & +  5.21 x_{22} & + 24.58 x_{13} & +  3.69 x_{14} & +  0.19 x_{30} & +  4.17 x_{16} & + 15.05 x_{6} & + 36.83 x_{18} & + 11.47 x_{19}\\
 x_{15}   &  0.517319131982 & +  0.06 x_{35} & +  0.02 x_{21} & +  1.90 x_{3} & +  0.15 x_{11} & +  0.04 x_{28} & -0.02 x_{26} & +  1.95 x_{7} & +  0.03 x_{27} & +  0.23 x_{9} & +  0.03 x_{32} & +  0.14 x_{33} & +  0.21 x_{22} & +  0.71 x_{13} & +  0.56 x_{14} & +  0.02 x_{30} & +  0.37 x_{16} & +  0.08 x_{6} & +  2.45 x_{18} & +  0.78 x_{19}\\
 x_{8}   &  0.306689676242 & -0.02 x_{35} & +  0.05 x_{21} & +  1.06 x_{3} & -1.03 x_{11} & +  0.04 x_{28} & -0.04 x_{26} & +  0.37 x_{7} & +  0.03 x_{27} & +  0.63 x_{9} & -0.03 x_{32} & +  0.06 x_{33} & +  0.06 x_{22} & +  0.35 x_{13} & -0.03 x_{14} & +  0.03 x_{30} & +  0.70 x_{16} & -0.10 x_{6} & +  1.15 x_{18} & -0.09 x_{19}\\
 x_{23}   &  5.4486992337 & +  0.59 x_{35} & +  1.01 x_{21} & -9.96 x_{3} & +  7.44 x_{11} & -0.31 x_{28} & -0.08 x_{26} & +  4.80 x_{7} & -0.15 x_{27} & -9.96 x_{9} & -0.87 x_{32} & +  0.88 x_{33} & +  0.23 x_{22} & + 13.95 x_{13} & +  0.32 x_{14} & +  0.07 x_{30} & -15.46 x_{16} & +  5.97 x_{6} & + 12.71 x_{18} & -10.47 x_{19}\\
 x_{12}   &  0.450207316587 & +  0.05 x_{35} & -0.03 x_{21} & +  1.92 x_{3} & +  0.87 x_{11} & +  0.01 x_{28} & +  0.09 x_{26} & +  1.93 x_{7} & +  0.12 x_{27} & -0.86 x_{9} & +  0.06 x_{32} & +  0.14 x_{33} & +  0.20 x_{22} & +  1.09 x_{13} & +  1.06 x_{14} & -0.00 x_{30} & -0.24 x_{16} & +  0.47 x_{6} & +  1.02 x_{18} & -0.14 x_{19}\\
 x_{25}   &  3.61813244387 & +  0.31 x_{35} & -0.11 x_{21} & + 10.04 x_{3} & -3.46 x_{11} & +  0.07 x_{28} & +  0.13 x_{26} & +  6.49 x_{7} & +  0.11 x_{27} & + 14.28 x_{9} & +  1.29 x_{32} & +  0.17 x_{33} & +  1.44 x_{22} & +  3.06 x_{13} & +  5.61 x_{14} & -0.01 x_{30} & +  1.94 x_{16} & +  0.07 x_{6} & +  7.94 x_{18} & +  5.96 x_{19}\\
 x_{24}   &  2.30912929101 & -0.61 x_{35} & -0.81 x_{21} & + 25.91 x_{3} & +  4.47 x_{11} & +  0.21 x_{28} & -0.01 x_{26} & +  1.41 x_{7} & +  1.04 x_{27} & -30.40 x_{9} & +  0.37 x_{32} & +  0.61 x_{33} & +  0.22 x_{22} & -3.73 x_{13} & +  3.06 x_{14} & -0.71 x_{30} & + 17.26 x_{16} & + 13.81 x_{6} & -8.80 x_{18} & -20.46 x_{19}\\
 x_{4}   &  0.476319207075 & +  0.02 x_{35} & +  0.06 x_{21} & +  0.81 x_{3} & +  0.00 x_{11} & +  0.00 x_{28} & +  0.02 x_{26} & +  1.71 x_{7} & +  0.00 x_{27} & +  0.91 x_{9} & +  0.04 x_{32} & +  0.13 x_{33} & +  0.21 x_{22} & +  0.99 x_{13} & +  0.64 x_{14} & +  0.02 x_{30} & +  0.16 x_{16} & +  0.15 x_{6} & +  2.50 x_{18} & +  1.02 x_{19}\\
 x_{2}   &  0.193139867672 & +  0.08 x_{35} & +  0.07 x_{21} & -0.66 x_{3} & +  0.48 x_{11} & -0.02 x_{28} & +  0.01 x_{26} & +  1.06 x_{7} & -0.03 x_{27} & +  0.29 x_{9} & -0.02 x_{32} & +  0.11 x_{33} & +  0.08 x_{22} & +  1.75 x_{13} & -0.02 x_{14} & +  0.03 x_{30} & -0.73 x_{16} & -0.12 x_{6} & +  1.83 x_{18} & +  0.26 x_{19}\\
 x_{29}   &  4.51303111012 & -0.53 x_{35} & +  0.07 x_{21} & + 19.18 x_{3} & +  2.22 x_{11} & +  0.11 x_{28} & -0.29 x_{26} & + 28.37 x_{7} & +  0.22 x_{27} & + 20.97 x_{9} & +  0.65 x_{32} & +  1.36 x_{33} & +  3.09 x_{22} & -8.64 x_{13} & + 15.53 x_{14} & +  0.30 x_{30} & + 18.49 x_{16} & +  8.03 x_{6} & + 21.41 x_{18} & + 16.67 x_{19}\\
 x_{10}   &  0.00336842954932 & -0.05 x_{35} & +  0.06 x_{21} & -0.20 x_{3} & -0.71 x_{11} & -0.04 x_{28} & -0.08 x_{26} & -1.29 x_{7} & -0.05 x_{27} & +  0.32 x_{9} & -0.06 x_{32} & -0.02 x_{33} & -0.04 x_{22} & +  0.06 x_{13} & +  0.33 x_{14} & -0.02 x_{30} & +  0.12 x_{16} & +  0.13 x_{6} & -0.08 x_{18} & -0.05 x_{19}\\
 x_{31}   &  8.40358751952 & +  0.16 x_{35} & -0.44 x_{21} & + 19.05 x_{3} & -6.47 x_{11} & +  0.40 x_{28} & +  0.90 x_{26} & + 28.66 x_{7} & +  1.49 x_{27} & +  0.46 x_{9} & +  1.35 x_{32} & +  1.63 x_{33} & +  3.06 x_{22} & +  4.00 x_{13} & + 16.83 x_{14} & +  0.39 x_{30} & -0.81 x_{16} & -3.89 x_{6} & +  8.88 x_{18} & -2.59 x_{19}\\
 x_{17}   &  0.207914692921 & +  0.08 x_{35} & +  0.02 x_{21} & +  0.58 x_{3} & +  0.17 x_{11} & +  0.04 x_{28} & +  0.01 x_{26} & +  0.85 x_{7} & +  0.02 x_{27} & -0.65 x_{9} & +  0.03 x_{32} & +  0.09 x_{33} & +  0.05 x_{22} & +  0.99 x_{13} & -0.57 x_{14} & -0.01 x_{30} & +  0.25 x_{16} & +  0.03 x_{6} & +  0.71 x_{18} & -0.32 x_{19}\\
 x_{5}   &  0.170692391787 & -0.02 x_{35} & -0.04 x_{21} & +  2.26 x_{3} & -0.46 x_{11} & +  0.03 x_{28} & +  0.00 x_{26} & +  0.95 x_{7} & +  0.09 x_{27} & -0.60 x_{9} & +  0.05 x_{32} & +  0.08 x_{33} & +  0.11 x_{22} & -0.66 x_{13} & +  0.07 x_{14} & +  0.02 x_{30} & +  0.74 x_{16} & +  0.25 x_{6} & +  0.19 x_{18} & -0.41 x_{19}\\
 x_{34}   &  2.72478648311 & +  0.65 x_{35} & +  0.24 x_{21} & + 12.85 x_{3} & +  8.61 x_{11} & -0.51 x_{28} & +  0.46 x_{26} & + 16.09 x_{7} & +  1.03 x_{27} & -10.43 x_{9} & +  0.64 x_{32} & +  1.85 x_{33} & +  2.65 x_{22} & + 22.85 x_{13} & + 11.58 x_{14} & +  0.21 x_{30} & -1.35 x_{16} & +  2.56 x_{6} & +  7.04 x_{18} & +  6.74 x_{19}\\
 x_{1}   &  0.0233775447095 & +  0.06 x_{35} & +  0.00 x_{21} & -0.57 x_{3} & +  0.17 x_{11} & -0.00 x_{28} & +  0.04 x_{26} & +  0.05 x_{7} & +  0.04 x_{27} & -0.07 x_{9} & +  0.05 x_{32} & +  0.01 x_{33} & +  0.03 x_{22} & +  0.38 x_{13} & +  0.12 x_{14} & +  0.02 x_{30} & -0.31 x_{16} & -0.06 x_{6} & -0.09 x_{18} & +  0.13 x_{19}\\
\hline
z    &  -4.87527531874 & -0.62 x_{35} & +  0.12 x_{21} & -25.22 x_{3} & -0.75 x_{11} & -0.71 x_{28} & -0.33 x_{26} & -20.54 x_{7} & -1.10 x_{27} & -2.14 x_{9} & -0.79 x_{32} & -1.52 x_{33} & -2.03 x_{22} & -8.07 x_{13} & +  4.10 x_{14} & -0.34 x_{30} & -10.85 x_{16} & +  2.05 x_{6} & -16.56 x_{18} & -0.61 x_{19}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  13.5232573346 & + 18.17 x_{35} & +  0.56 x_{21} & -108.25 x_{3} & + 60.55 x_{11} & +  0.51 x_{28} & + 11.33 x_{26} & + 79.23 x_{7} & + 13.05 x_{27} & -30.57 x_{9} & + 14.99 x_{32} & +  7.75 x_{33} & + 13.29 x_{22} & + 129.29 x_{13} & + 37.64 x_{14} & +  5.14 x_{30} & -81.72 x_{16} & -272.80 x_{1} & + 13.50 x_{18} & + 46.01 x_{19}\\
 x_{15}   &  0.549653480919 & +  0.14 x_{35} & +  0.03 x_{21} & +  1.11 x_{3} & +  0.38 x_{11} & +  0.04 x_{28} & +  0.02 x_{26} & +  2.02 x_{7} & +  0.09 x_{27} & +  0.14 x_{9} & +  0.10 x_{32} & +  0.16 x_{33} & +  0.25 x_{22} & +  1.24 x_{13} & +  0.73 x_{14} & +  0.04 x_{30} & -0.07 x_{16} & -1.38 x_{1} & +  2.33 x_{18} & +  0.95 x_{19}\\
 x_{8}   &  0.262325208735 & -0.13 x_{35} & +  0.04 x_{21} & +  2.14 x_{3} & -1.35 x_{11} & +  0.04 x_{28} & -0.10 x_{26} & +  0.28 x_{7} & -0.05 x_{27} & +  0.76 x_{9} & -0.12 x_{32} & +  0.03 x_{33} & +  0.00 x_{22} & -0.38 x_{13} & -0.27 x_{14} & -0.00 x_{30} & +  1.30 x_{16} & +  1.90 x_{1} & +  1.31 x_{18} & -0.33 x_{19}\\
 x_{23}   &  7.97875427072 & +  7.16 x_{35} & +  1.44 x_{21} & -71.54 x_{3} & + 25.65 x_{11} & -0.34 x_{28} & +  3.70 x_{26} & +  9.75 x_{7} & +  4.30 x_{27} & -17.01 x_{9} & +  4.32 x_{32} & +  2.27 x_{33} & +  3.44 x_{22} & + 55.48 x_{13} & + 13.79 x_{14} & +  2.03 x_{30} & -49.53 x_{16} & -108.23 x_{1} & +  3.46 x_{18} & +  3.23 x_{19}\\
 x_{12}   &  0.648824238017 & +  0.56 x_{35} & +  0.00 x_{21} & -2.92 x_{3} & +  2.30 x_{11} & +  0.01 x_{28} & +  0.39 x_{26} & +  2.31 x_{7} & +  0.47 x_{27} & -1.42 x_{9} & +  0.47 x_{32} & +  0.25 x_{33} & +  0.46 x_{22} & +  4.35 x_{13} & +  2.12 x_{14} & +  0.15 x_{30} & -2.92 x_{16} & -8.50 x_{1} & +  0.30 x_{18} & +  0.94 x_{19}\\
 x_{25}   &  3.64729278125 & +  0.39 x_{35} & -0.11 x_{21} & +  9.33 x_{3} & -3.25 x_{11} & +  0.06 x_{28} & +  0.17 x_{26} & +  6.55 x_{7} & +  0.16 x_{27} & + 14.20 x_{9} & +  1.35 x_{32} & +  0.19 x_{33} & +  1.48 x_{22} & +  3.54 x_{13} & +  5.76 x_{14} & +  0.01 x_{30} & +  1.55 x_{16} & -1.25 x_{1} & +  7.83 x_{18} & +  6.12 x_{19}\\
 x_{24}   &  8.16056356244 & + 14.59 x_{35} & +  0.18 x_{21} & -116.52 x_{3} & + 46.59 x_{11} & +  0.12 x_{28} & +  8.76 x_{26} & + 12.86 x_{7} & + 11.33 x_{27} & -46.69 x_{9} & + 12.36 x_{32} & +  3.83 x_{33} & +  7.63 x_{22} & + 92.34 x_{13} & + 34.21 x_{14} & +  3.83 x_{30} & -61.55 x_{16} & -250.30 x_{1} & -30.20 x_{18} & + 11.23 x_{19}\\
 x_{4}   &  0.541561165788 & +  0.19 x_{35} & +  0.07 x_{21} & -0.78 x_{3} & +  0.47 x_{11} & +  0.00 x_{28} & +  0.12 x_{26} & +  1.83 x_{7} & +  0.12 x_{27} & +  0.73 x_{9} & +  0.18 x_{32} & +  0.17 x_{33} & +  0.29 x_{22} & +  2.06 x_{13} & +  0.99 x_{14} & +  0.07 x_{30} & -0.72 x_{16} & -2.79 x_{1} & +  2.26 x_{18} & +  1.37 x_{19}\\
 x_{2}   &  0.143044737801 & -0.05 x_{35} & +  0.06 x_{21} & +  0.56 x_{3} & +  0.12 x_{11} & -0.02 x_{28} & -0.06 x_{26} & +  0.96 x_{7} & -0.11 x_{27} & +  0.43 x_{9} & -0.13 x_{32} & +  0.08 x_{33} & +  0.02 x_{22} & +  0.93 x_{13} & -0.29 x_{14} & -0.00 x_{30} & -0.05 x_{16} & +  2.14 x_{1} & +  2.01 x_{18} & -0.01 x_{19}\\
 x_{29}   &  7.91411385131 & +  8.30 x_{35} & +  0.65 x_{21} & -63.61 x_{3} & + 26.70 x_{11} & +  0.06 x_{28} & +  4.80 x_{26} & + 35.03 x_{7} & +  6.20 x_{27} & + 11.50 x_{9} & +  7.62 x_{32} & +  3.23 x_{33} & +  7.39 x_{22} & + 47.20 x_{13} & + 33.63 x_{14} & +  2.94 x_{30} & -27.31 x_{16} & -145.49 x_{1} & +  8.97 x_{18} & + 35.09 x_{19}\\
 x_{10}   &  0.0590237523211 & +  0.10 x_{35} & +  0.07 x_{21} & -1.56 x_{3} & -0.31 x_{11} & -0.04 x_{28} & +  0.00 x_{26} & -1.18 x_{7} & +  0.04 x_{27} & +  0.16 x_{9} & +  0.06 x_{32} & +  0.01 x_{33} & +  0.03 x_{22} & +  0.97 x_{13} & +  0.63 x_{14} & +  0.02 x_{30} & -0.63 x_{16} & -2.38 x_{1} & -0.28 x_{18} & +  0.25 x_{19}\\
 x_{31}   &  6.7561481133 & -4.12 x_{35} & -0.72 x_{21} & + 59.15 x_{3} & -18.33 x_{11} & +  0.43 x_{28} & -1.56 x_{26} & + 25.43 x_{7} & -1.41 x_{27} & +  5.05 x_{9} & -2.03 x_{32} & +  0.72 x_{33} & +  0.98 x_{22} & -23.05 x_{13} & +  8.05 x_{14} & -0.89 x_{30} & + 21.38 x_{16} & + 70.47 x_{1} & + 14.91 x_{18} & -11.51 x_{19}\\
 x_{17}   &  0.222432262024 & +  0.11 x_{35} & +  0.02 x_{21} & +  0.23 x_{3} & +  0.27 x_{11} & +  0.04 x_{28} & +  0.03 x_{26} & +  0.87 x_{7} & +  0.05 x_{27} & -0.69 x_{9} & +  0.06 x_{32} & +  0.10 x_{33} & +  0.06 x_{22} & +  1.22 x_{13} & -0.49 x_{14} & +  0.00 x_{30} & +  0.06 x_{16} & -0.62 x_{1} & +  0.66 x_{18} & -0.24 x_{19}\\
 x_{5}   &  0.274948753916 & +  0.25 x_{35} & -0.03 x_{21} & -0.28 x_{3} & +  0.29 x_{11} & +  0.03 x_{28} & +  0.16 x_{26} & +  1.16 x_{7} & +  0.27 x_{27} & -0.89 x_{9} & +  0.27 x_{32} & +  0.14 x_{33} & +  0.24 x_{22} & +  1.05 x_{13} & +  0.63 x_{14} & +  0.10 x_{30} & -0.66 x_{16} & -4.46 x_{1} & -0.19 x_{18} & +  0.16 x_{19}\\
 x_{34}   &  3.80986199907 & +  3.47 x_{35} & +  0.42 x_{21} & -13.56 x_{3} & + 16.42 x_{11} & -0.52 x_{28} & +  2.09 x_{26} & + 18.21 x_{7} & +  2.94 x_{27} & -13.45 x_{9} & +  2.86 x_{32} & +  2.45 x_{33} & +  4.03 x_{22} & + 40.67 x_{13} & + 17.35 x_{14} & +  1.05 x_{30} & -15.96 x_{16} & -46.42 x_{1} & +  3.07 x_{18} & + 12.62 x_{19}\\
 x_{6}   &  0.423734743703 & +  1.10 x_{35} & +  0.07 x_{21} & -10.31 x_{3} & +  3.05 x_{11} & -0.01 x_{28} & +  0.63 x_{26} & +  0.83 x_{7} & +  0.75 x_{27} & -1.18 x_{9} & +  0.87 x_{32} & +  0.23 x_{33} & +  0.54 x_{22} & +  6.96 x_{13} & +  2.26 x_{14} & +  0.33 x_{30} & -5.71 x_{16} & -18.13 x_{1} & -1.55 x_{18} & +  2.29 x_{19}\\
\hline
z    &  -4.00539450504 & +  1.64 x_{35} & +  0.27 x_{21} & -46.40 x_{3} & +  5.51 x_{11} & -0.72 x_{28} & +  0.97 x_{26} & -18.84 x_{7} & +  0.43 x_{27} & -4.56 x_{9} & +  1.00 x_{32} & -1.04 x_{33} & -0.93 x_{22} & +  6.22 x_{13} & +  8.73 x_{14} & +  0.33 x_{30} & -22.56 x_{16} & -37.21 x_{1} & -19.74 x_{18} & +  4.10 x_{19}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  25.0327551204 & + 37.22 x_{35} & + 14.62 x_{21} & -411.88 x_{3} & -195.00 x_{10} & -8.06 x_{28} & + 12.20 x_{26} & -150.86 x_{7} & + 21.52 x_{27} & +  1.36 x_{9} & + 25.85 x_{32} & + 10.34 x_{33} & + 18.88 x_{22} & + 318.22 x_{13} & + 159.65 x_{14} & +  9.26 x_{30} & -205.08 x_{16} & -737.03 x_{1} & -41.24 x_{18} & + 94.19 x_{19}\\
 x_{15}   &  0.622825994423 & +  0.26 x_{35} & +  0.12 x_{21} & -0.82 x_{3} & -1.24 x_{10} & -0.02 x_{28} & +  0.03 x_{26} & +  0.55 x_{7} & +  0.14 x_{27} & +  0.34 x_{9} & +  0.17 x_{32} & +  0.18 x_{33} & +  0.29 x_{22} & +  2.44 x_{13} & +  1.51 x_{14} & +  0.07 x_{30} & -0.85 x_{16} & -4.33 x_{1} & +  1.98 x_{18} & +  1.26 x_{19}\\
 x_{8}   &  0.00650647598076 & -0.55 x_{35} & -0.27 x_{21} & +  8.89 x_{3} & +  4.33 x_{10} & +  0.23 x_{28} & -0.12 x_{26} & +  5.40 x_{7} & -0.24 x_{27} & +  0.05 x_{9} & -0.37 x_{32} & -0.03 x_{33} & -0.12 x_{22} & -4.58 x_{13} & -2.98 x_{14} & -0.10 x_{30} & +  4.04 x_{16} & + 12.22 x_{1} & +  2.52 x_{18} & -1.40 x_{19}\\
 x_{23}   &  12.8550205671 & + 15.23 x_{35} & +  7.39 x_{21} & -200.18 x_{3} & -82.62 x_{10} & -3.98 x_{28} & +  4.07 x_{26} & -87.73 x_{7} & +  7.89 x_{27} & -3.48 x_{9} & +  8.92 x_{32} & +  3.37 x_{33} & +  5.81 x_{22} & + 135.53 x_{13} & + 65.48 x_{14} & +  3.78 x_{30} & -101.79 x_{16} & -304.91 x_{1} & -19.73 x_{18} & + 23.65 x_{19}\\
 x_{12}   &  1.08588068112 & +  1.28 x_{35} & +  0.54 x_{21} & -14.45 x_{3} & -7.40 x_{10} & -0.32 x_{28} & +  0.42 x_{26} & -6.42 x_{7} & +  0.79 x_{27} & -0.20 x_{9} & +  0.88 x_{32} & +  0.34 x_{33} & +  0.67 x_{22} & + 11.52 x_{13} & +  6.75 x_{14} & +  0.31 x_{30} & -7.60 x_{16} & -26.12 x_{1} & -1.78 x_{18} & +  2.76 x_{19}\\
 x_{25}   &  3.02909913899 & -0.64 x_{35} & -0.86 x_{21} & + 25.64 x_{3} & + 10.47 x_{10} & +  0.53 x_{28} & +  0.13 x_{26} & + 18.91 x_{7} & -0.29 x_{27} & + 12.48 x_{9} & +  0.76 x_{32} & +  0.05 x_{33} & +  1.18 x_{22} & -6.61 x_{13} & -0.79 x_{14} & -0.21 x_{30} & +  8.18 x_{16} & + 23.69 x_{1} & + 10.77 x_{18} & +  3.53 x_{19}\\
 x_{24}   &  17.0169641769 & + 29.25 x_{35} & + 10.99 x_{21} & -350.16 x_{3} & -150.05 x_{10} & -6.48 x_{28} & +  9.43 x_{26} & -164.19 x_{7} & + 17.85 x_{27} & -22.12 x_{9} & + 20.72 x_{32} & +  5.82 x_{33} & + 11.93 x_{22} & + 237.72 x_{13} & + 128.09 x_{14} & +  7.00 x_{30} & -156.47 x_{16} & -607.52 x_{1} & -72.32 x_{18} & + 48.31 x_{19}\\
 x_{4}   &  0.631583326947 & +  0.34 x_{35} & +  0.18 x_{21} & -3.15 x_{3} & -1.53 x_{10} & -0.07 x_{28} & +  0.13 x_{26} & +  0.03 x_{7} & +  0.18 x_{27} & +  0.98 x_{9} & +  0.26 x_{32} & +  0.19 x_{33} & +  0.34 x_{22} & +  3.54 x_{13} & +  1.94 x_{14} & +  0.10 x_{30} & -1.68 x_{16} & -6.42 x_{1} & +  1.83 x_{18} & +  1.75 x_{19}\\
 x_{2}   &  0.165766261184 & -0.02 x_{35} & +  0.09 x_{21} & -0.04 x_{3} & -0.38 x_{10} & -0.04 x_{28} & -0.06 x_{26} & +  0.51 x_{7} & -0.10 x_{27} & +  0.49 x_{9} & -0.11 x_{32} & +  0.09 x_{33} & +  0.03 x_{22} & +  1.30 x_{13} & -0.04 x_{14} & +  0.00 x_{30} & -0.30 x_{16} & +  1.23 x_{1} & +  1.90 x_{18} & +  0.08 x_{19}\\
 x_{29}   &  12.9906796007 & + 16.70 x_{35} & +  6.85 x_{21} & -197.53 x_{3} & -86.01 x_{10} & -3.72 x_{28} & +  5.18 x_{26} & -66.46 x_{7} & +  9.94 x_{27} & + 25.59 x_{9} & + 12.41 x_{32} & +  4.37 x_{33} & +  9.86 x_{22} & + 130.53 x_{13} & + 87.45 x_{14} & +  4.76 x_{30} & -81.72 x_{16} & -350.25 x_{1} & -15.18 x_{18} & + 56.34 x_{19}\\
 x_{11}   &  0.190098028615 & +  0.31 x_{35} & +  0.23 x_{21} & -5.01 x_{3} & -3.22 x_{10} & -0.14 x_{28} & +  0.01 x_{26} & -3.80 x_{7} & +  0.14 x_{27} & +  0.53 x_{9} & +  0.18 x_{32} & +  0.04 x_{33} & +  0.09 x_{22} & +  3.12 x_{13} & +  2.02 x_{14} & +  0.07 x_{30} & -2.04 x_{16} & -7.67 x_{1} & -0.90 x_{18} & +  0.80 x_{19}\\
 x_{31}   &  3.27165226006 & -9.89 x_{35} & -4.98 x_{21} & + 151.08 x_{3} & + 59.04 x_{10} & +  3.02 x_{28} & -1.83 x_{26} & + 95.09 x_{7} & -3.97 x_{27} & -4.62 x_{9} & -5.31 x_{32} & -0.06 x_{33} & -0.72 x_{22} & -80.25 x_{13} & -28.88 x_{14} & -2.14 x_{30} & + 58.73 x_{16} & + 211.02 x_{1} & + 31.48 x_{18} & -26.10 x_{19}\\
 x_{17}   &  0.273885404949 & +  0.20 x_{35} & +  0.08 x_{21} & -1.13 x_{3} & -0.87 x_{10} & -0.00 x_{28} & +  0.03 x_{26} & -0.15 x_{7} & +  0.08 x_{27} & -0.55 x_{9} & +  0.11 x_{32} & +  0.11 x_{33} & +  0.09 x_{22} & +  2.07 x_{13} & +  0.05 x_{14} & +  0.02 x_{30} & -0.49 x_{16} & -2.70 x_{1} & +  0.42 x_{18} & -0.03 x_{19}\\
 x_{5}   &  0.329913430827 & +  0.34 x_{35} & +  0.04 x_{21} & -1.73 x_{3} & -0.93 x_{10} & -0.01 x_{28} & +  0.16 x_{26} & +  0.06 x_{7} & +  0.31 x_{27} & -0.73 x_{9} & +  0.32 x_{32} & +  0.15 x_{33} & +  0.26 x_{22} & +  1.95 x_{13} & +  1.21 x_{14} & +  0.12 x_{30} & -1.25 x_{16} & -6.68 x_{1} & -0.46 x_{18} & +  0.39 x_{19}\\
 x_{34}   &  6.93134802265 & +  8.63 x_{35} & +  4.23 x_{21} & -95.91 x_{3} & -52.89 x_{10} & -2.85 x_{28} & +  2.32 x_{26} & -44.19 x_{7} & +  5.23 x_{27} & -4.79 x_{9} & +  5.81 x_{32} & +  3.15 x_{33} & +  5.54 x_{22} & + 91.91 x_{13} & + 50.44 x_{14} & +  2.17 x_{30} & -49.42 x_{16} & -172.32 x_{1} & -11.78 x_{18} & + 25.69 x_{19}\\
 x_{6}   &  1.00354033085 & +  2.06 x_{35} & +  0.78 x_{21} & -25.61 x_{3} & -9.82 x_{10} & -0.44 x_{28} & +  0.68 x_{26} & -10.76 x_{7} & +  1.17 x_{27} & +  0.43 x_{9} & +  1.42 x_{32} & +  0.36 x_{33} & +  0.82 x_{22} & + 16.47 x_{13} & +  8.40 x_{14} & +  0.54 x_{30} & -11.92 x_{16} & -41.51 x_{1} & -4.31 x_{18} & +  4.72 x_{19}\\
\hline
z    &  -2.95708663692 & +  3.37 x_{35} & +  1.55 x_{21} & -74.05 x_{3} & -17.76 x_{10} & -1.50 x_{28} & +  1.05 x_{26} & -39.79 x_{7} & +  1.20 x_{27} & -1.66 x_{9} & +  1.99 x_{32} & -0.80 x_{33} & -0.42 x_{22} & + 23.42 x_{13} & + 19.84 x_{14} & +  0.71 x_{30} & -33.80 x_{16} & -79.49 x_{1} & -24.73 x_{18} & +  8.49 x_{19}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  25.4846075388 & -1.30 x_{35} & -4.00 x_{21} & + 205.47 x_{3} & + 106.00 x_{10} & +  8.08 x_{28} & +  3.66 x_{26} & + 223.85 x_{7} & +  5.01 x_{27} & +  4.52 x_{9} & +  0.50 x_{32} & +  8.52 x_{33} & + 10.48 x_{22} & -69.45 x_{8} & -47.28 x_{14} & +  2.58 x_{30} & + 75.40 x_{16} & + 111.34 x_{1} & + 134.06 x_{18} & -3.07 x_{19}\\
 x_{15}   &  0.626289804006 & -0.03 x_{35} & -0.02 x_{21} & +  3.92 x_{3} & +  1.07 x_{10} & +  0.11 x_{28} & -0.04 x_{26} & +  3.43 x_{7} & +  0.01 x_{27} & +  0.36 x_{9} & -0.03 x_{32} & +  0.16 x_{33} & +  0.23 x_{22} & -0.53 x_{8} & -0.08 x_{14} & +  0.02 x_{30} & +  1.30 x_{16} & +  2.17 x_{1} & +  3.32 x_{18} & +  0.51 x_{19}\\
 x_{13}   &  0.00141993786616 & -0.12 x_{35} & -0.06 x_{21} & +  1.94 x_{3} & +  0.95 x_{10} & +  0.05 x_{28} & -0.03 x_{26} & +  1.18 x_{7} & -0.05 x_{27} & +  0.01 x_{9} & -0.08 x_{32} & -0.01 x_{33} & -0.03 x_{22} & -0.22 x_{8} & -0.65 x_{14} & -0.02 x_{30} & +  0.88 x_{16} & +  2.67 x_{1} & +  0.55 x_{18} & -0.31 x_{19}\\
 x_{23}   &  13.0474657315 & -1.17 x_{35} & -0.54 x_{21} & + 62.75 x_{3} & + 45.58 x_{10} & +  2.90 x_{28} & +  0.43 x_{26} & + 71.86 x_{7} & +  0.86 x_{27} & -2.13 x_{9} & -1.88 x_{32} & +  2.59 x_{33} & +  2.23 x_{22} & -29.58 x_{8} & -22.65 x_{14} & +  0.93 x_{30} & + 17.66 x_{16} & + 56.41 x_{1} & + 54.93 x_{18} & -17.78 x_{19}\\
 x_{12}   &  1.10224076599 & -0.11 x_{35} & -0.14 x_{21} & +  7.91 x_{3} & +  3.49 x_{10} & +  0.27 x_{28} & +  0.12 x_{26} & +  7.14 x_{7} & +  0.20 x_{27} & -0.09 x_{9} & -0.04 x_{32} & +  0.28 x_{33} & +  0.36 x_{22} & -2.51 x_{8} & -0.74 x_{14} & +  0.06 x_{30} & +  2.55 x_{16} & +  4.59 x_{1} & +  4.56 x_{18} & -0.76 x_{19}\\
 x_{25}   &  3.01971474053 & +  0.16 x_{35} & -0.48 x_{21} & + 12.82 x_{3} & +  4.22 x_{10} & +  0.19 x_{28} & +  0.31 x_{26} & + 11.12 x_{7} & +  0.05 x_{27} & + 12.41 x_{9} & +  1.29 x_{32} & +  0.09 x_{33} & +  1.35 x_{22} & +  1.44 x_{8} & +  3.51 x_{14} & -0.07 x_{30} & +  2.35 x_{16} & +  6.07 x_{1} & +  7.13 x_{18} & +  5.55 x_{19}\\
 x_{24}   &  17.3545138131 & +  0.47 x_{35} & -2.92 x_{21} & + 111.02 x_{3} & + 74.80 x_{10} & +  5.58 x_{28} & +  3.04 x_{26} & + 115.73 x_{7} & +  5.52 x_{27} & -19.76 x_{9} & +  1.78 x_{32} & +  4.46 x_{33} & +  5.65 x_{22} & -51.88 x_{8} & -26.49 x_{14} & +  2.01 x_{30} & + 53.05 x_{16} & + 26.24 x_{1} & + 58.63 x_{18} & -24.35 x_{19}\\
 x_{4}   &  0.636613171463 & -0.09 x_{35} & -0.02 x_{21} & +  3.72 x_{3} & +  1.83 x_{10} & +  0.11 x_{28} & +  0.03 x_{26} & +  4.20 x_{7} & +  0.00 x_{27} & +  1.01 x_{9} & -0.02 x_{32} & +  0.17 x_{33} & +  0.25 x_{22} & -0.77 x_{8} & -0.36 x_{14} & +  0.03 x_{30} & +  1.44 x_{16} & +  3.02 x_{1} & +  3.78 x_{18} & +  0.67 x_{19}\\
 x_{2}   &  0.167610368483 & -0.17 x_{35} & +  0.02 x_{21} & +  2.48 x_{3} & +  0.84 x_{10} & +  0.03 x_{28} & -0.10 x_{26} & +  2.04 x_{7} & -0.16 x_{27} & +  0.50 x_{9} & -0.21 x_{32} & +  0.08 x_{33} & -0.01 x_{22} & -0.28 x_{8} & -0.89 x_{14} & -0.02 x_{30} & +  0.85 x_{16} & +  4.69 x_{1} & +  2.62 x_{18} & -0.32 x_{19}\\
 x_{29}   &  13.176023564 & +  0.90 x_{35} & -0.79 x_{21} & + 55.70 x_{3} & + 37.45 x_{10} & +  2.90 x_{28} & +  1.68 x_{26} & + 87.24 x_{7} & +  3.17 x_{27} & + 26.88 x_{9} & +  2.01 x_{32} & +  3.62 x_{33} & +  6.41 x_{22} & -28.49 x_{8} & +  2.57 x_{14} & +  2.02 x_{30} & + 33.32 x_{16} & -2.26 x_{1} & + 56.73 x_{18} & + 16.44 x_{19}\\
 x_{11}   &  0.19452901459 & -0.06 x_{35} & +  0.05 x_{21} & +  1.04 x_{3} & -0.27 x_{10} & +  0.02 x_{28} & -0.07 x_{26} & -0.13 x_{7} & -0.02 x_{27} & +  0.56 x_{9} & -0.07 x_{32} & +  0.02 x_{33} & +  0.01 x_{22} & -0.68 x_{8} & -0.01 x_{14} & +  0.00 x_{30} & +  0.71 x_{16} & +  0.65 x_{1} & +  0.81 x_{18} & -0.16 x_{19}\\
 x_{31}   &  3.15770451739 & -0.17 x_{35} & -0.28 x_{21} & -4.61 x_{3} & -16.87 x_{10} & -1.05 x_{28} & +  0.33 x_{26} & +  0.60 x_{7} & +  0.19 x_{27} & -5.42 x_{9} & +  1.08 x_{32} & +  0.40 x_{33} & +  1.40 x_{22} & + 17.51 x_{8} & + 23.30 x_{14} & -0.45 x_{30} & -12.00 x_{16} & -2.92 x_{1} & -12.72 x_{18} & -1.57 x_{19}\\
 x_{17}   &  0.276823762939 & -0.05 x_{35} & -0.04 x_{21} & +  2.89 x_{3} & +  1.09 x_{10} & +  0.10 x_{28} & -0.02 x_{26} & +  2.28 x_{7} & -0.02 x_{27} & -0.53 x_{9} & -0.05 x_{32} & +  0.10 x_{33} & +  0.03 x_{22} & -0.45 x_{8} & -1.29 x_{14} & -0.02 x_{30} & +  1.33 x_{16} & +  2.82 x_{1} & +  1.56 x_{18} & -0.66 x_{19}\\
 x_{5}   &  0.332681076606 & +  0.11 x_{35} & -0.07 x_{21} & +  2.05 x_{3} & +  0.91 x_{10} & +  0.08 x_{28} & +  0.11 x_{26} & +  2.35 x_{7} & +  0.21 x_{27} & -0.72 x_{9} & +  0.16 x_{32} & +  0.14 x_{33} & +  0.21 x_{22} & -0.43 x_{8} & -0.06 x_{14} & +  0.08 x_{30} & +  0.46 x_{16} & -1.48 x_{1} & +  0.62 x_{18} & -0.21 x_{19}\\
 x_{34}   &  7.06185239453 & -2.49 x_{35} & -1.15 x_{21} & + 82.40 x_{3} & + 34.05 x_{10} & +  1.81 x_{28} & -0.14 x_{26} & + 64.04 x_{7} & +  0.46 x_{27} & -3.88 x_{9} & -1.52 x_{32} & +  2.62 x_{33} & +  3.11 x_{22} & -20.06 x_{8} & -9.32 x_{14} & +  0.24 x_{30} & + 31.59 x_{16} & + 72.71 x_{1} & + 38.85 x_{18} & -2.41 x_{19}\\
 x_{6}   &  1.02693324476 & +  0.07 x_{35} & -0.18 x_{21} & +  6.35 x_{3} & +  5.76 x_{10} & +  0.40 x_{28} & +  0.24 x_{26} & +  8.64 x_{7} & +  0.32 x_{27} & +  0.59 x_{9} & +  0.10 x_{32} & +  0.27 x_{33} & +  0.38 x_{22} & -3.60 x_{8} & -2.31 x_{14} & +  0.19 x_{30} & +  2.60 x_{16} & +  2.41 x_{1} & +  4.77 x_{18} & -0.31 x_{19}\\
\hline
z    &  -2.92382668473 & +  0.54 x_{35} & +  0.18 x_{21} & -28.61 x_{3} & +  4.39 x_{10} & -0.32 x_{28} & +  0.42 x_{26} & -12.21 x_{7} & -0.01 x_{27} & -1.42 x_{9} & +  0.12 x_{32} & -0.94 x_{33} & -1.04 x_{22} & -5.11 x_{8} & +  4.61 x_{14} & +  0.22 x_{30} & -13.15 x_{16} & -17.05 x_{1} & -11.82 x_{18} & +  1.33 x_{19}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{31} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  45.3262423553 & -2.38 x_{35} & -5.78 x_{21} & + 176.52 x_{3} & -6.28 x_{31} & +  1.50 x_{28} & +  5.72 x_{26} & + 227.62 x_{7} & +  6.20 x_{27} & -29.51 x_{9} & +  7.28 x_{32} & + 11.02 x_{33} & + 19.30 x_{22} & + 40.60 x_{8} & + 99.13 x_{14} & -0.26 x_{30} & -0.02 x_{16} & + 92.97 x_{1} & + 54.11 x_{18} & -12.93 x_{19}\\
 x_{15}   &  0.826144946943 & -0.04 x_{35} & -0.04 x_{21} & +  3.62 x_{3} & -0.06 x_{31} & +  0.04 x_{28} & -0.02 x_{26} & +  3.46 x_{7} & +  0.03 x_{27} & +  0.02 x_{9} & +  0.04 x_{32} & +  0.19 x_{33} & +  0.31 x_{22} & +  0.58 x_{8} & +  1.39 x_{14} & -0.01 x_{30} & +  0.54 x_{16} & +  1.98 x_{1} & +  2.52 x_{18} & +  0.41 x_{19}\\
 x_{13}   &  0.178479855671 & -0.13 x_{35} & -0.07 x_{21} & +  1.68 x_{3} & -0.06 x_{31} & -0.01 x_{28} & -0.01 x_{26} & +  1.21 x_{7} & -0.04 x_{27} & -0.29 x_{9} & -0.02 x_{32} & +  0.02 x_{33} & +  0.05 x_{22} & +  0.76 x_{8} & +  0.66 x_{14} & -0.05 x_{30} & +  0.21 x_{16} & +  2.50 x_{1} & -0.16 x_{18} & -0.39 x_{19}\\
 x_{23}   &  21.579451779 & -1.64 x_{35} & -1.30 x_{21} & + 50.30 x_{3} & -2.70 x_{31} & +  0.07 x_{28} & +  1.32 x_{26} & + 73.48 x_{7} & +  1.37 x_{27} & -16.76 x_{9} & +  1.04 x_{32} & +  3.67 x_{33} & +  6.02 x_{22} & + 17.74 x_{8} & + 40.31 x_{14} & -0.29 x_{30} & -14.77 x_{16} & + 48.51 x_{1} & + 20.55 x_{18} & -22.02 x_{19}\\
 x_{12}   &  1.75614685173 & -0.15 x_{35} & -0.19 x_{21} & +  6.95 x_{3} & -0.21 x_{31} & +  0.05 x_{28} & +  0.18 x_{26} & +  7.27 x_{7} & +  0.23 x_{27} & -1.21 x_{9} & +  0.18 x_{32} & +  0.36 x_{33} & +  0.65 x_{22} & +  1.11 x_{8} & +  4.08 x_{14} & -0.03 x_{30} & +  0.07 x_{16} & +  3.99 x_{1} & +  1.93 x_{18} & -1.08 x_{19}\\
 x_{25}   &  3.81012184872 & +  0.12 x_{35} & -0.55 x_{21} & + 11.66 x_{3} & -0.25 x_{31} & -0.07 x_{28} & +  0.39 x_{26} & + 11.27 x_{7} & +  0.09 x_{27} & + 11.06 x_{9} & +  1.56 x_{32} & +  0.18 x_{33} & +  1.70 x_{22} & +  5.83 x_{8} & +  9.34 x_{14} & -0.18 x_{30} & -0.65 x_{16} & +  5.34 x_{1} & +  3.95 x_{18} & +  5.16 x_{19}\\
 x_{24}   &  31.3573932432 & -0.29 x_{35} & -4.17 x_{21} & + 90.59 x_{3} & -4.43 x_{31} & +  0.93 x_{28} & +  4.50 x_{26} & + 118.39 x_{7} & +  6.35 x_{27} & -43.77 x_{9} & +  6.57 x_{32} & +  6.22 x_{33} & + 11.88 x_{22} & + 25.78 x_{8} & + 76.83 x_{14} & +  0.00 x_{30} & -0.17 x_{16} & + 13.27 x_{1} & +  2.20 x_{18} & -31.31 x_{19}\\
 x_{4}   &  0.978307265406 & -0.10 x_{35} & -0.05 x_{21} & +  3.22 x_{3} & -0.11 x_{31} & +  0.00 x_{28} & +  0.07 x_{26} & +  4.27 x_{7} & +  0.02 x_{27} & +  0.43 x_{9} & +  0.10 x_{32} & +  0.21 x_{33} & +  0.40 x_{22} & +  1.12 x_{8} & +  2.16 x_{14} & -0.02 x_{30} & +  0.14 x_{16} & +  2.71 x_{1} & +  2.40 x_{18} & +  0.50 x_{19}\\
 x_{2}   &  0.325501062515 & -0.18 x_{35} & +  0.00 x_{21} & +  2.25 x_{3} & -0.05 x_{31} & -0.02 x_{28} & -0.08 x_{26} & +  2.07 x_{7} & -0.16 x_{27} & +  0.23 x_{9} & -0.16 x_{32} & +  0.10 x_{33} & +  0.06 x_{22} & +  0.59 x_{8} & +  0.28 x_{14} & -0.05 x_{30} & +  0.25 x_{16} & +  4.54 x_{1} & +  1.98 x_{18} & -0.39 x_{19}\\
 x_{29}   &  20.1872722429 & +  0.52 x_{35} & -1.42 x_{21} & + 45.47 x_{3} & -2.22 x_{31} & +  0.58 x_{28} & +  2.41 x_{26} & + 88.57 x_{7} & +  3.59 x_{27} & + 14.86 x_{9} & +  4.41 x_{32} & +  4.50 x_{33} & +  9.53 x_{22} & + 10.40 x_{8} & + 54.30 x_{14} & +  1.01 x_{30} & +  6.67 x_{16} & -8.75 x_{1} & + 28.48 x_{18} & + 12.96 x_{19}\\
 x_{11}   &  0.144157733324 & -0.06 x_{35} & +  0.05 x_{21} & +  1.11 x_{3} & +  0.02 x_{31} & +  0.03 x_{28} & -0.07 x_{26} & -0.14 x_{7} & -0.03 x_{27} & +  0.64 x_{9} & -0.09 x_{32} & +  0.02 x_{33} & -0.01 x_{22} & -0.96 x_{8} & -0.39 x_{14} & +  0.01 x_{30} & +  0.90 x_{16} & +  0.70 x_{1} & +  1.02 x_{18} & -0.13 x_{19}\\
 x_{10}   &  0.187193696567 & -0.01 x_{35} & -0.02 x_{21} & -0.27 x_{3} & -0.06 x_{31} & -0.06 x_{28} & +  0.02 x_{26} & +  0.04 x_{7} & +  0.01 x_{27} & -0.32 x_{9} & +  0.06 x_{32} & +  0.02 x_{33} & +  0.08 x_{22} & +  1.04 x_{8} & +  1.38 x_{14} & -0.03 x_{30} & -0.71 x_{16} & -0.17 x_{1} & -0.75 x_{18} & -0.09 x_{19}\\
 x_{17}   &  0.480040370717 & -0.06 x_{35} & -0.06 x_{21} & +  2.59 x_{3} & -0.06 x_{31} & +  0.04 x_{28} & -0.00 x_{26} & +  2.32 x_{7} & -0.01 x_{27} & -0.88 x_{9} & +  0.02 x_{32} & +  0.12 x_{33} & +  0.12 x_{22} & +  0.68 x_{8} & +  0.21 x_{14} & -0.05 x_{30} & +  0.56 x_{16} & +  2.63 x_{1} & +  0.74 x_{18} & -0.76 x_{19}\\
 x_{5}   &  0.503473811095 & +  0.10 x_{35} & -0.09 x_{21} & +  1.80 x_{3} & -0.05 x_{31} & +  0.03 x_{28} & +  0.13 x_{26} & +  2.38 x_{7} & +  0.22 x_{27} & -1.01 x_{9} & +  0.22 x_{32} & +  0.16 x_{33} & +  0.29 x_{22} & +  0.52 x_{8} & +  1.20 x_{14} & +  0.05 x_{30} & -0.19 x_{16} & -1.64 x_{1} & -0.07 x_{18} & -0.29 x_{19}\\
 x_{34}   &  13.435379568 & -2.84 x_{35} & -1.72 x_{21} & + 73.10 x_{3} & -2.02 x_{31} & -0.30 x_{28} & +  0.52 x_{26} & + 65.25 x_{7} & +  0.84 x_{27} & -14.81 x_{9} & +  0.66 x_{32} & +  3.42 x_{33} & +  5.95 x_{22} & + 15.29 x_{8} & + 37.71 x_{14} & -0.67 x_{30} & +  7.37 x_{16} & + 66.81 x_{1} & + 13.17 x_{18} & -5.57 x_{19}\\
 x_{6}   &  2.10507315329 & +  0.01 x_{35} & -0.28 x_{21} & +  4.78 x_{3} & -0.34 x_{31} & +  0.04 x_{28} & +  0.35 x_{26} & +  8.84 x_{7} & +  0.38 x_{27} & -1.26 x_{9} & +  0.47 x_{32} & +  0.41 x_{33} & +  0.86 x_{22} & +  2.38 x_{8} & +  5.64 x_{14} & +  0.04 x_{30} & -1.50 x_{16} & +  1.41 x_{1} & +  0.42 x_{18} & -0.85 x_{19}\\
\hline
z    &  -2.10116503951 & +  0.49 x_{35} & +  0.10 x_{21} & -29.81 x_{3} & -0.26 x_{31} & -0.59 x_{28} & +  0.50 x_{26} & -12.06 x_{7} & +  0.04 x_{27} & -2.83 x_{9} & +  0.40 x_{32} & -0.83 x_{33} & -0.67 x_{22} & -0.55 x_{8} & + 10.68 x_{14} & +  0.10 x_{30} & -16.28 x_{16} & -17.81 x_{1} & -15.14 x_{18} & +  0.92 x_{19}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  82.372674289 & -17.89 x_{35} & +  8.13 x_{21} & + 462.40 x_{3} & -2.18 x_{31} & + 10.08 x_{28} & -13.46 x_{26} & + 192.82 x_{7} & -0.24 x_{27} & + 136.20 x_{9} & -14.94 x_{32} & + 15.79 x_{33} & + 16.10 x_{22} & -206.21 x_{8} & -256.99 x_{11} & +  2.25 x_{30} & + 232.40 x_{16} & + 272.45 x_{1} & + 315.70 x_{18} & -47.10 x_{19}\\
 x_{15}   &  1.34744685276 & -0.26 x_{35} & +  0.15 x_{21} & +  7.65 x_{3} & -0.01 x_{31} & +  0.16 x_{28} & -0.29 x_{26} & +  2.97 x_{7} & -0.06 x_{27} & +  2.35 x_{9} & -0.27 x_{32} & +  0.26 x_{33} & +  0.27 x_{22} & -2.90 x_{8} & -3.62 x_{11} & +  0.02 x_{30} & +  3.81 x_{16} & +  4.51 x_{1} & +  6.20 x_{18} & -0.07 x_{19}\\
 x_{13}   &  0.423722957772 & -0.23 x_{35} & +  0.02 x_{21} & +  3.57 x_{3} & -0.03 x_{31} & +  0.05 x_{28} & -0.14 x_{26} & +  0.98 x_{7} & -0.08 x_{27} & +  0.80 x_{9} & -0.17 x_{32} & +  0.05 x_{33} & +  0.03 x_{22} & -0.87 x_{8} & -1.70 x_{11} & -0.03 x_{30} & +  1.75 x_{16} & +  3.69 x_{1} & +  1.57 x_{18} & -0.62 x_{19}\\
 x_{23}   &  36.6430835267 & -7.94 x_{35} & +  4.35 x_{21} & + 166.55 x_{3} & -1.04 x_{31} & +  3.56 x_{28} & -6.48 x_{26} & + 59.33 x_{7} & -1.25 x_{27} & + 50.61 x_{9} & -8.00 x_{32} & +  5.61 x_{33} & +  4.72 x_{22} & -82.61 x_{8} & -104.49 x_{11} & +  0.73 x_{30} & + 79.74 x_{16} & + 121.49 x_{1} & + 126.91 x_{18} & -35.91 x_{19}\\
 x_{12}   &  3.28243981304 & -0.78 x_{35} & +  0.38 x_{21} & + 18.73 x_{3} & -0.04 x_{31} & +  0.41 x_{28} & -0.61 x_{26} & +  5.83 x_{7} & -0.03 x_{27} & +  5.62 x_{9} & -0.73 x_{32} & +  0.56 x_{33} & +  0.52 x_{22} & -9.06 x_{8} & -10.59 x_{11} & +  0.07 x_{30} & +  9.64 x_{16} & + 11.38 x_{1} & + 12.71 x_{18} & -2.49 x_{19}\\
 x_{25}   &  7.30009082819 & -1.34 x_{35} & +  0.76 x_{21} & + 38.60 x_{3} & +  0.14 x_{31} & +  0.74 x_{28} & -1.42 x_{26} & +  8.00 x_{7} & -0.51 x_{27} & + 26.67 x_{9} & -0.53 x_{32} & +  0.63 x_{33} & +  1.40 x_{22} & -17.42 x_{8} & -24.21 x_{11} & +  0.06 x_{30} & + 21.24 x_{16} & + 22.24 x_{1} & + 28.59 x_{18} & +  1.94 x_{19}\\
 x_{24}   &  60.0704879117 & -12.31 x_{35} & +  6.61 x_{21} & + 312.17 x_{3} & -1.26 x_{31} & +  7.58 x_{28} & -10.37 x_{26} & + 91.42 x_{7} & +  1.36 x_{27} & + 84.66 x_{9} & -10.66 x_{32} & +  9.93 x_{33} & +  9.40 x_{22} & -165.50 x_{8} & -199.18 x_{11} & +  1.95 x_{30} & + 179.97 x_{16} & + 152.38 x_{1} & + 204.95 x_{18} & -57.79 x_{19}\\
 x_{4}   &  1.78565721567 & -0.44 x_{35} & +  0.25 x_{21} & +  9.45 x_{3} & -0.02 x_{31} & +  0.19 x_{28} & -0.35 x_{26} & +  3.51 x_{7} & -0.12 x_{27} & +  4.04 x_{9} & -0.39 x_{32} & +  0.31 x_{33} & +  0.33 x_{22} & -4.26 x_{8} & -5.60 x_{11} & +  0.03 x_{30} & +  5.21 x_{16} & +  6.62 x_{1} & +  8.11 x_{18} & -0.25 x_{19}\\
 x_{2}   &  0.428537118799 & -0.22 x_{35} & +  0.04 x_{21} & +  3.05 x_{3} & -0.04 x_{31} & +  0.00 x_{28} & -0.13 x_{26} & +  1.97 x_{7} & -0.17 x_{27} & +  0.69 x_{9} & -0.22 x_{32} & +  0.11 x_{33} & +  0.05 x_{22} & -0.09 x_{8} & -0.71 x_{11} & -0.04 x_{30} & +  0.89 x_{16} & +  5.04 x_{1} & +  2.71 x_{18} & -0.49 x_{19}\\
 x_{29}   &  40.4808252535 & -7.98 x_{35} & +  6.20 x_{21} & + 202.08 x_{3} & +  0.03 x_{31} & +  5.27 x_{28} & -8.10 x_{26} & + 69.51 x_{7} & +  0.06 x_{27} & + 105.63 x_{9} & -7.76 x_{32} & +  7.12 x_{33} & +  7.78 x_{22} & -124.80 x_{8} & -140.77 x_{11} & +  2.39 x_{30} & + 133.99 x_{16} & + 89.57 x_{1} & + 171.77 x_{18} & -5.76 x_{19}\\
 x_{14}   &  0.373705699452 & -0.16 x_{35} & +  0.14 x_{21} & +  2.88 x_{3} & +  0.04 x_{31} & +  0.09 x_{28} & -0.19 x_{26} & -0.35 x_{7} & -0.06 x_{27} & +  1.67 x_{9} & -0.22 x_{32} & +  0.05 x_{33} & -0.03 x_{22} & -2.49 x_{8} & -2.59 x_{11} & +  0.03 x_{30} & +  2.34 x_{16} & +  1.81 x_{1} & +  2.64 x_{18} & -0.34 x_{19}\\
 x_{10}   &  0.703392442058 & -0.23 x_{35} & +  0.18 x_{21} & +  3.71 x_{3} & -0.00 x_{31} & +  0.06 x_{28} & -0.25 x_{26} & -0.45 x_{7} & -0.08 x_{27} & +  1.99 x_{9} & -0.25 x_{32} & +  0.09 x_{33} & +  0.04 x_{22} & -2.40 x_{8} & -3.58 x_{11} & +  0.01 x_{30} & +  2.53 x_{16} & +  2.33 x_{1} & +  2.89 x_{18} & -0.57 x_{19}\\
 x_{17}   &  0.55755147995 & -0.10 x_{35} & -0.03 x_{21} & +  3.19 x_{3} & -0.06 x_{31} & +  0.05 x_{28} & -0.04 x_{26} & +  2.25 x_{7} & -0.03 x_{27} & -0.53 x_{9} & -0.03 x_{32} & +  0.13 x_{33} & +  0.12 x_{22} & +  0.16 x_{8} & -0.54 x_{11} & -0.05 x_{30} & +  1.04 x_{16} & +  3.01 x_{1} & +  1.28 x_{18} & -0.83 x_{19}\\
 x_{5}   &  0.95258888259 & -0.09 x_{35} & +  0.08 x_{21} & +  5.27 x_{3} & -0.00 x_{31} & +  0.13 x_{28} & -0.10 x_{26} & +  1.96 x_{7} & +  0.14 x_{27} & +  1.00 x_{9} & -0.05 x_{32} & +  0.22 x_{33} & +  0.25 x_{22} & -2.47 x_{8} & -3.12 x_{11} & +  0.08 x_{30} & +  2.63 x_{16} & +  0.54 x_{1} & +  3.10 x_{18} & -0.71 x_{19}\\
 x_{34}   &  27.5267370451 & -8.74 x_{35} & +  3.57 x_{21} & + 181.84 x_{3} & -0.46 x_{31} & +  2.96 x_{28} & -6.78 x_{26} & + 52.01 x_{7} & -1.60 x_{27} & + 48.22 x_{9} & -7.79 x_{32} & +  5.24 x_{33} & +  4.73 x_{22} & -78.59 x_{8} & -97.75 x_{11} & +  0.28 x_{30} & + 95.77 x_{16} & + 135.07 x_{1} & + 112.67 x_{18} & -18.57 x_{19}\\
 x_{6}   &  4.21450091822 & -0.88 x_{35} & +  0.51 x_{21} & + 21.06 x_{3} & -0.11 x_{31} & +  0.53 x_{28} & -0.74 x_{26} & +  6.86 x_{7} & +  0.02 x_{27} & +  8.18 x_{9} & -0.79 x_{32} & +  0.68 x_{33} & +  0.68 x_{22} & -11.67 x_{8} & -14.63 x_{11} & +  0.18 x_{30} & + 11.74 x_{16} & + 11.63 x_{1} & + 15.32 x_{18} & -2.79 x_{19}\\
\hline
z    &  1.88952170843 & -1.18 x_{35} & +  1.60 x_{21} & +  0.99 x_{3} & +  0.18 x_{31} & +  0.34 x_{28} & -1.56 x_{26} & -15.80 x_{7} & -0.66 x_{27} & + 15.02 x_{9} & -1.99 x_{32} & -0.32 x_{33} & -1.02 x_{22} & -27.14 x_{8} & -27.68 x_{11} & +  0.37 x_{30} & +  8.76 x_{16} & +  1.53 x_{1} & + 13.04 x_{18} & -2.76 x_{19}\\
\end{array}\]


 $ x_{1} $ enters and Unbounded Dictionary!


 $ x_{1} $ enters and Unbounded Dictionary!
\end{document}
